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Finding the Fourth Proportional to 92,346.86, 138,471.05 and 47,928.89

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Solution

The fourth proportional to 92,346.86, 138,471.05 and 47,928.89 is: 71,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,346.86 : 138,471.05 = 47,928.89 : x
  2. Step 2: Convert to fraction form
    92,346.86/138,471.05 = 47,928.89/x
  3. Step 3: Cross multiply
    92,346.86x = 138,471.05 × 47,928.89
  4. Step 4: Simplify right side
    92,346.86x = 6,636,762,791.63
  5. Step 5: Solve for x
    x = 6,636,762,791.63/92,346.86
  6. Step 6: Final answer
    x = 71,867.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.