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Finding the Fourth Proportional to 53,618.38, 74,002.17 and 29,752.74

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Solution

The fourth proportional to 53,618.38, 74,002.17 and 29,752.74 is: 41,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,618.38 : 74,002.17 = 29,752.74 : x
  2. Step 2: Convert to fraction form
    53,618.38/74,002.17 = 29,752.74/x
  3. Step 3: Cross multiply
    53,618.38x = 74,002.17 × 29,752.74
  4. Step 4: Simplify right side
    53,618.38x = 2,201,767,323.45
  5. Step 5: Solve for x
    x = 2,201,767,323.45/53,618.38
  6. Step 6: Final answer
    x = 41,063.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.