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Finding the Fourth Proportional to 48,654.42, 72,981.71 and 13,594.08

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Solution

The fourth proportional to 48,654.42, 72,981.71 and 13,594.08 is: 20,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,654.42 : 72,981.71 = 13,594.08 : x
  2. Step 2: Convert to fraction form
    48,654.42/72,981.71 = 13,594.08/x
  3. Step 3: Cross multiply
    48,654.42x = 72,981.71 × 13,594.08
  4. Step 4: Simplify right side
    48,654.42x = 992,119,050.44
  5. Step 5: Solve for x
    x = 992,119,050.44/48,654.42
  6. Step 6: Final answer
    x = 20,391.14

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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.