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Finding the Fourth Proportional to 42,309.52, 63,416.76 and 20,104.72

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Solution

The fourth proportional to 42,309.52, 63,416.76 and 20,104.72 is: 30,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309.52 : 63,416.76 = 20,104.72 : x
  2. Step 2: Convert to fraction form
    42,309.52/63,416.76 = 20,104.72/x
  3. Step 3: Cross multiply
    42,309.52x = 63,416.76 × 20,104.72
  4. Step 4: Simplify right side
    42,309.52x = 1,274,976,203.11
  5. Step 5: Solve for x
    x = 1,274,976,203.11/42,309.52
  6. Step 6: Final answer
    x = 30,134.50

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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.