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Finding the Fourth Proportional to 70,541.34, 97,346.77 and 38,710.16

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Solution

The fourth proportional to 70,541.34, 97,346.77 and 38,710.16 is: 53,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,541.34 : 97,346.77 = 38,710.16 : x
  2. Step 2: Convert to fraction form
    70,541.34/97,346.77 = 38,710.16/x
  3. Step 3: Cross multiply
    70,541.34x = 97,346.77 × 38,710.16
  4. Step 4: Simplify right side
    70,541.34x = 3,768,309,042.18
  5. Step 5: Solve for x
    x = 3,768,309,042.18/70,541.34
  6. Step 6: Final answer
    x = 53,419.87

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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.