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Finding the Fourth Proportional to 48,634.78, 72,952.14 and 15,802.78

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Solution

The fourth proportional to 48,634.78, 72,952.14 and 15,802.78 is: 23,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,634.78 : 72,952.14 = 15,802.78 : x
  2. Step 2: Convert to fraction form
    48,634.78/72,952.14 = 15,802.78/x
  3. Step 3: Cross multiply
    48,634.78x = 72,952.14 × 15,802.78
  4. Step 4: Simplify right side
    48,634.78x = 1,152,846,618.95
  5. Step 5: Solve for x
    x = 1,152,846,618.95/48,634.78
  6. Step 6: Final answer
    x = 23,704.16

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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.