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Finding the Fourth Proportional to 38,657.60, 58,072.80 and 37,083.20

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Solution

The fourth proportional to 38,657.60, 58,072.80 and 37,083.20 is: 55,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.60 : 58,072.80 = 37,083.20 : x
  2. Step 2: Convert to fraction form
    38,657.60/58,072.80 = 37,083.20/x
  3. Step 3: Cross multiply
    38,657.60x = 58,072.80 × 37,083.20
  4. Step 4: Simplify right side
    38,657.60x = 2,153,525,256.96
  5. Step 5: Solve for x
    x = 2,153,525,256.96/38,657.60
  6. Step 6: Final answer
    x = 55,707.68

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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.