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Finding the Fourth Proportional to 42,102.90, 63,152.94 and 12,520.92

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Solution

The fourth proportional to 42,102.90, 63,152.94 and 12,520.92 is: 18,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.90 : 63,152.94 = 12,520.92 : x
  2. Step 2: Convert to fraction form
    42,102.90/63,152.94 = 12,520.92/x
  3. Step 3: Cross multiply
    42,102.90x = 63,152.94 × 12,520.92
  4. Step 4: Simplify right side
    42,102.90x = 790,732,909.50
  5. Step 5: Solve for x
    x = 790,732,909.50/42,102.90
  6. Step 6: Final answer
    x = 18,780.96

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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.