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Finding the Fourth Proportional to 52,492, 78,761.20 and 27,526.08

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Solution

The fourth proportional to 52,492, 78,761.20 and 27,526.08 is: 41,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,492 : 78,761.20 = 27,526.08 : x
  2. Step 2: Convert to fraction form
    52,492/78,761.20 = 27,526.08/x
  3. Step 3: Cross multiply
    52,492x = 78,761.20 × 27,526.08
  4. Step 4: Simplify right side
    52,492x = 2,167,987,092.10
  5. Step 5: Solve for x
    x = 2,167,987,092.10/52,492
  6. Step 6: Final answer
    x = 41,301.29

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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.