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Finding the Fourth Proportional to 52,257.91, 72,114.72 and 28,384.08

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Solution

The fourth proportional to 52,257.91, 72,114.72 and 28,384.08 is: 39,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257.91 : 72,114.72 = 28,384.08 : x
  2. Step 2: Convert to fraction form
    52,257.91/72,114.72 = 28,384.08/x
  3. Step 3: Cross multiply
    52,257.91x = 72,114.72 × 28,384.08
  4. Step 4: Simplify right side
    52,257.91x = 2,046,909,981.66
  5. Step 5: Solve for x
    x = 2,046,909,981.66/52,257.91
  6. Step 6: Final answer
    x = 39,169.38

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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.