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Finding the Fourth Proportional to 52,503.84, 72,469.08 and 29,856.06

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Solution

The fourth proportional to 52,503.84, 72,469.08 and 29,856.06 is: 41,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.84 : 72,469.08 = 29,856.06 : x
  2. Step 2: Convert to fraction form
    52,503.84/72,469.08 = 29,856.06/x
  3. Step 3: Cross multiply
    52,503.84x = 72,469.08 × 29,856.06
  4. Step 4: Simplify right side
    52,503.84x = 2,163,641,200.62
  5. Step 5: Solve for x
    x = 2,163,641,200.62/52,503.84
  6. Step 6: Final answer
    x = 41,209.20

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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.