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Finding the Fourth Proportional to 48,031, 72,048.56 and 14,752.39

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Solution

The fourth proportional to 48,031, 72,048.56 and 14,752.39 is: 22,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,031 : 72,048.56 = 14,752.39 : x
  2. Step 2: Convert to fraction form
    48,031/72,048.56 = 14,752.39/x
  3. Step 3: Cross multiply
    48,031x = 72,048.56 × 14,752.39
  4. Step 4: Simplify right side
    48,031x = 1,062,888,456.06
  5. Step 5: Solve for x
    x = 1,062,888,456.06/48,031
  6. Step 6: Final answer
    x = 22,129.22

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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.