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Finding the Fourth Proportional to 70,537.14, 97,342.74 and 38,705.76

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Solution

The fourth proportional to 70,537.14, 97,342.74 and 38,705.76 is: 53,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.14 : 97,342.74 = 38,705.76 : x
  2. Step 2: Convert to fraction form
    70,537.14/97,342.74 = 38,705.76/x
  3. Step 3: Cross multiply
    70,537.14x = 97,342.74 × 38,705.76
  4. Step 4: Simplify right side
    70,537.14x = 3,767,724,732.18
  5. Step 5: Solve for x
    x = 3,767,724,732.18/70,537.14
  6. Step 6: Final answer
    x = 53,414.76

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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.