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Finding the Fourth Proportional to 51,658.25, 77,500.38 and 14,722.25

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Solution

The fourth proportional to 51,658.25, 77,500.38 and 14,722.25 is: 22,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658.25 : 77,500.38 = 14,722.25 : x
  2. Step 2: Convert to fraction form
    51,658.25/77,500.38 = 14,722.25/x
  3. Step 3: Cross multiply
    51,658.25x = 77,500.38 × 14,722.25
  4. Step 4: Simplify right side
    51,658.25x = 1,140,979,969.46
  5. Step 5: Solve for x
    x = 1,140,979,969.46/51,658.25
  6. Step 6: Final answer
    x = 22,087.08

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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.