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Finding the Fourth Proportional to 26,874,508.96, 40,303,494.96 and 7,700,128.48

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Solution

The fourth proportional to 26,874,508.96, 40,303,494.96 and 7,700,128.48 is: 11,547,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874,508.96 : 40,303,494.96 = 7,700,128.48 : x
  2. Step 2: Convert to fraction form
    26,874,508.96/40,303,494.96 = 7,700,128.48/x
  3. Step 3: Cross multiply
    26,874,508.96x = 40,303,494.96 × 7,700,128.48
  4. Step 4: Simplify right side
    26,874,508.96x = 310,342,089,385,032.50
  5. Step 5: Solve for x
    x = 310,342,089,385,032.50/26,874,508.96
  6. Step 6: Final answer
    x = 11,547,823.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.