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Finding the Fourth Proportional to 52,400.40, 78,605.16 and 14,959.80

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Solution

The fourth proportional to 52,400.40, 78,605.16 and 14,959.80 is: 22,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,400.40 : 78,605.16 = 14,959.80 : x
  2. Step 2: Convert to fraction form
    52,400.40/78,605.16 = 14,959.80/x
  3. Step 3: Cross multiply
    52,400.40x = 78,605.16 × 14,959.80
  4. Step 4: Simplify right side
    52,400.40x = 1,175,917,472.57
  5. Step 5: Solve for x
    x = 1,175,917,472.57/52,400.40
  6. Step 6: Final answer
    x = 22,441.00

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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.