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Finding the Fourth Proportional to 48,859.60, 73,282.20 and 13,802.80

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Solution

The fourth proportional to 48,859.60, 73,282.20 and 13,802.80 is: 20,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,859.60 : 73,282.20 = 13,802.80 : x
  2. Step 2: Convert to fraction form
    48,859.60/73,282.20 = 13,802.80/x
  3. Step 3: Cross multiply
    48,859.60x = 73,282.20 × 13,802.80
  4. Step 4: Simplify right side
    48,859.60x = 1,011,499,550.16
  5. Step 5: Solve for x
    x = 1,011,499,550.16/48,859.60
  6. Step 6: Final answer
    x = 20,702.17

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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.