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Finding the Fourth Proportional to 69,874.49, 96,428.54 and 38,045.14

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Solution

The fourth proportional to 69,874.49, 96,428.54 and 38,045.14 is: 52,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,874.49 : 96,428.54 = 38,045.14 : x
  2. Step 2: Convert to fraction form
    69,874.49/96,428.54 = 38,045.14/x
  3. Step 3: Cross multiply
    69,874.49x = 96,428.54 × 38,045.14
  4. Step 4: Simplify right side
    69,874.49x = 3,668,637,158.34
  5. Step 5: Solve for x
    x = 3,668,637,158.34/69,874.49
  6. Step 6: Final answer
    x = 52,503.24

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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.