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Finding the Fourth Proportional to 52,250.30, 78,326.85 and 36,455.30

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Solution

The fourth proportional to 52,250.30, 78,326.85 and 36,455.30 is: 54,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,250.30 : 78,326.85 = 36,455.30 : x
  2. Step 2: Convert to fraction form
    52,250.30/78,326.85 = 36,455.30/x
  3. Step 3: Cross multiply
    52,250.30x = 78,326.85 × 36,455.30
  4. Step 4: Simplify right side
    52,250.30x = 2,855,428,814.81
  5. Step 5: Solve for x
    x = 2,855,428,814.81/52,250.30
  6. Step 6: Final answer
    x = 54,649.04

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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.