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Finding the Fourth Proportional to 70,538.14, 97,344.12 and 38,706.76

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Solution

The fourth proportional to 70,538.14, 97,344.12 and 38,706.76 is: 53,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,538.14 : 97,344.12 = 38,706.76 : x
  2. Step 2: Convert to fraction form
    70,538.14/97,344.12 = 38,706.76/x
  3. Step 3: Cross multiply
    70,538.14x = 97,344.12 × 38,706.76
  4. Step 4: Simplify right side
    70,538.14x = 3,767,875,490.25
  5. Step 5: Solve for x
    x = 3,767,875,490.25/70,538.14
  6. Step 6: Final answer
    x = 53,416.14

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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.