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Finding the Fourth Proportional to 71,002.98, 97,984 and 38,737.60

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Solution

The fourth proportional to 71,002.98, 97,984 and 38,737.60 is: 53,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,002.98 : 97,984 = 38,737.60 : x
  2. Step 2: Convert to fraction form
    71,002.98/97,984 = 38,737.60/x
  3. Step 3: Cross multiply
    71,002.98x = 97,984 × 38,737.60
  4. Step 4: Simplify right side
    71,002.98x = 3,795,664,998.40
  5. Step 5: Solve for x
    x = 3,795,664,998.40/71,002.98
  6. Step 6: Final answer
    x = 53,457.83

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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.