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Finding the Fourth Proportional to 70,414.38, 97,168.95 and 38,582.46

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Solution

The fourth proportional to 70,414.38, 97,168.95 and 38,582.46 is: 53,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.38 : 97,168.95 = 38,582.46 : x
  2. Step 2: Convert to fraction form
    70,414.38/97,168.95 = 38,582.46/x
  3. Step 3: Cross multiply
    70,414.38x = 97,168.95 × 38,582.46
  4. Step 4: Simplify right side
    70,414.38x = 3,749,017,126.62
  5. Step 5: Solve for x
    x = 3,749,017,126.62/70,414.38
  6. Step 6: Final answer
    x = 53,242.21

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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.