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Finding the Fourth Proportional to 52,103.84, 71,898.92 and 29,444.80

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Solution

The fourth proportional to 52,103.84, 71,898.92 and 29,444.80 is: 40,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.84 : 71,898.92 = 29,444.80 : x
  2. Step 2: Convert to fraction form
    52,103.84/71,898.92 = 29,444.80/x
  3. Step 3: Cross multiply
    52,103.84x = 71,898.92 × 29,444.80
  4. Step 4: Simplify right side
    52,103.84x = 2,117,049,319.62
  5. Step 5: Solve for x
    x = 2,117,049,319.62/52,103.84
  6. Step 6: Final answer
    x = 40,631.35

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1.5x scale

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.