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Finding the Fourth Proportional to 38,470.86, 53,113.80 and 29,501.10

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Solution

The fourth proportional to 38,470.86, 53,113.80 and 29,501.10 is: 40,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.86 : 53,113.80 = 29,501.10 : x
  2. Step 2: Convert to fraction form
    38,470.86/53,113.80 = 29,501.10/x
  3. Step 3: Cross multiply
    38,470.86x = 53,113.80 × 29,501.10
  4. Step 4: Simplify right side
    38,470.86x = 1,566,915,525.18
  5. Step 5: Solve for x
    x = 1,566,915,525.18/38,470.86
  6. Step 6: Final answer
    x = 40,729.93

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