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Finding the Fourth Proportional to 52,205.34, 72,039.02 and 29,543.16

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Solution

The fourth proportional to 52,205.34, 72,039.02 and 29,543.16 is: 40,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.34 : 72,039.02 = 29,543.16 : x
  2. Step 2: Convert to fraction form
    52,205.34/72,039.02 = 29,543.16/x
  3. Step 3: Cross multiply
    52,205.34x = 72,039.02 × 29,543.16
  4. Step 4: Simplify right side
    52,205.34x = 2,128,260,294.10
  5. Step 5: Solve for x
    x = 2,128,260,294.10/52,205.34
  6. Step 6: Final answer
    x = 40,767.10

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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.