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Finding the Fourth Proportional to 51,497.17, 77,256.77 and 15,957.70

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Solution

The fourth proportional to 51,497.17, 77,256.77 and 15,957.70 is: 23,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,497.17 : 77,256.77 = 15,957.70 : x
  2. Step 2: Convert to fraction form
    51,497.17/77,256.77 = 15,957.70/x
  3. Step 3: Cross multiply
    51,497.17x = 77,256.77 × 15,957.70
  4. Step 4: Simplify right side
    51,497.17x = 1,232,840,205.38
  5. Step 5: Solve for x
    x = 1,232,840,205.38/51,497.17
  6. Step 6: Final answer
    x = 23,939.96

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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.