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Finding the Fourth Proportional to 52,424.64, 78,649.44 and 15,488.64

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Solution

The fourth proportional to 52,424.64, 78,649.44 and 15,488.64 is: 23,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424.64 : 78,649.44 = 15,488.64 : x
  2. Step 2: Convert to fraction form
    52,424.64/78,649.44 = 15,488.64/x
  3. Step 3: Cross multiply
    52,424.64x = 78,649.44 × 15,488.64
  4. Step 4: Simplify right side
    52,424.64x = 1,218,172,862.36
  5. Step 5: Solve for x
    x = 1,218,172,862.36/52,424.64
  6. Step 6: Final answer
    x = 23,236.65

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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.