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Finding the Fourth Proportional to 51,807.80, 77,711.70 and 18,543.80

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Solution

The fourth proportional to 51,807.80, 77,711.70 and 18,543.80 is: 27,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.80 : 77,711.70 = 18,543.80 : x
  2. Step 2: Convert to fraction form
    51,807.80/77,711.70 = 18,543.80/x
  3. Step 3: Cross multiply
    51,807.80x = 77,711.70 × 18,543.80
  4. Step 4: Simplify right side
    51,807.80x = 1,441,070,222.46
  5. Step 5: Solve for x
    x = 1,441,070,222.46/51,807.80
  6. Step 6: Final answer
    x = 27,815.70

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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.