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Finding the Fourth Proportional to 67,778, 93,534.72 and 37,970

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Solution

The fourth proportional to 67,778, 93,534.72 and 37,970 is: 52,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,778 : 93,534.72 = 37,970 : x
  2. Step 2: Convert to fraction form
    67,778/93,534.72 = 37,970/x
  3. Step 3: Cross multiply
    67,778x = 93,534.72 × 37,970
  4. Step 4: Simplify right side
    67,778x = 3,551,513,318.40
  5. Step 5: Solve for x
    x = 3,551,513,318.40/67,778
  6. Step 6: Final answer
    x = 52,399.21

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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.