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Finding the Fourth Proportional to 48,864.40, 73,442.40 and 42,449.20

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Solution

The fourth proportional to 48,864.40, 73,442.40 and 42,449.20 is: 63,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864.40 : 73,442.40 = 42,449.20 : x
  2. Step 2: Convert to fraction form
    48,864.40/73,442.40 = 42,449.20/x
  3. Step 3: Cross multiply
    48,864.40x = 73,442.40 × 42,449.20
  4. Step 4: Simplify right side
    48,864.40x = 3,117,571,126.08
  5. Step 5: Solve for x
    x = 3,117,571,126.08/48,864.40
  6. Step 6: Final answer
    x = 63,800.46

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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.