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Finding the Fourth Proportional to 51,510.61, 77,253.78 and 14,061.78

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Solution

The fourth proportional to 51,510.61, 77,253.78 and 14,061.78 is: 21,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,510.61 : 77,253.78 = 14,061.78 : x
  2. Step 2: Convert to fraction form
    51,510.61/77,253.78 = 14,061.78/x
  3. Step 3: Cross multiply
    51,510.61x = 77,253.78 × 14,061.78
  4. Step 4: Simplify right side
    51,510.61x = 1,086,325,658.53
  5. Step 5: Solve for x
    x = 1,086,325,658.53/51,510.61
  6. Step 6: Final answer
    x = 21,089.36

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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.