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Finding the Fourth Proportional to 48,642.40, 72,769.20 and 42,140.80

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Solution

The fourth proportional to 48,642.40, 72,769.20 and 42,140.80 is: 63,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.40 : 72,769.20 = 42,140.80 : x
  2. Step 2: Convert to fraction form
    48,642.40/72,769.20 = 42,140.80/x
  3. Step 3: Cross multiply
    48,642.40x = 72,769.20 × 42,140.80
  4. Step 4: Simplify right side
    48,642.40x = 3,066,552,303.36
  5. Step 5: Solve for x
    x = 3,066,552,303.36/48,642.40
  6. Step 6: Final answer
    x = 63,042.78

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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.