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Finding the Fourth Proportional to 52,742.72, 72,784.90 and 28,869.18

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Solution

The fourth proportional to 52,742.72, 72,784.90 and 28,869.18 is: 39,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742.72 : 72,784.90 = 28,869.18 : x
  2. Step 2: Convert to fraction form
    52,742.72/72,784.90 = 28,869.18/x
  3. Step 3: Cross multiply
    52,742.72x = 72,784.90 × 28,869.18
  4. Step 4: Simplify right side
    52,742.72x = 2,101,240,379.38
  5. Step 5: Solve for x
    x = 2,101,240,379.38/52,742.72
  6. Step 6: Final answer
    x = 39,839.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.