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Finding the Fourth Proportional to 42,433.60, 63,520.80 and 33,102.40

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Solution

The fourth proportional to 42,433.60, 63,520.80 and 33,102.40 is: 49,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,433.60 : 63,520.80 = 33,102.40 : x
  2. Step 2: Convert to fraction form
    42,433.60/63,520.80 = 33,102.40/x
  3. Step 3: Cross multiply
    42,433.60x = 63,520.80 × 33,102.40
  4. Step 4: Simplify right side
    42,433.60x = 2,102,690,929.92
  5. Step 5: Solve for x
    x = 2,102,690,929.92/42,433.60
  6. Step 6: Final answer
    x = 49,552.50

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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.