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Finding the Fourth Proportional to 76,542.92, 105,630.48 and 42,089.12

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Solution

The fourth proportional to 76,542.92, 105,630.48 and 42,089.12 is: 58,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.92 : 105,630.48 = 42,089.12 : x
  2. Step 2: Convert to fraction form
    76,542.92/105,630.48 = 42,089.12/x
  3. Step 3: Cross multiply
    76,542.92x = 105,630.48 × 42,089.12
  4. Step 4: Simplify right side
    76,542.92x = 4,445,893,948.38
  5. Step 5: Solve for x
    x = 4,445,893,948.38/76,542.92
  6. Step 6: Final answer
    x = 58,083.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.