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Finding the Fourth Proportional to 52,835.01, 79,251.85 and 12,854.22

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Solution

The fourth proportional to 52,835.01, 79,251.85 and 12,854.22 is: 19,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,835.01 : 79,251.85 = 12,854.22 : x
  2. Step 2: Convert to fraction form
    52,835.01/79,251.85 = 12,854.22/x
  3. Step 3: Cross multiply
    52,835.01x = 79,251.85 × 12,854.22
  4. Step 4: Simplify right side
    52,835.01x = 1,018,720,715.31
  5. Step 5: Solve for x
    x = 1,018,720,715.31/52,835.01
  6. Step 6: Final answer
    x = 19,281.17

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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.