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Finding the Fourth Proportional to 48,474.93, 72,714.02 and 13,411.65

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Solution

The fourth proportional to 48,474.93, 72,714.02 and 13,411.65 is: 20,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474.93 : 72,714.02 = 13,411.65 : x
  2. Step 2: Convert to fraction form
    48,474.93/72,714.02 = 13,411.65/x
  3. Step 3: Cross multiply
    48,474.93x = 72,714.02 × 13,411.65
  4. Step 4: Simplify right side
    48,474.93x = 975,214,986.33
  5. Step 5: Solve for x
    x = 975,214,986.33/48,474.93
  6. Step 6: Final answer
    x = 20,117.92

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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.