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Finding the Fourth Proportional to 47,397.76, 65,416.23 and 29,259.07

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Solution

The fourth proportional to 47,397.76, 65,416.23 and 29,259.07 is: 40,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,397.76 : 65,416.23 = 29,259.07 : x
  2. Step 2: Convert to fraction form
    47,397.76/65,416.23 = 29,259.07/x
  3. Step 3: Cross multiply
    47,397.76x = 65,416.23 × 29,259.07
  4. Step 4: Simplify right side
    47,397.76x = 1,914,018,052.71
  5. Step 5: Solve for x
    x = 1,914,018,052.71/47,397.76
  6. Step 6: Final answer
    x = 40,382.04

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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.