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Finding the Fourth Proportional to 51,767.52, 77,523.76 and 29,526

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Solution

The fourth proportional to 51,767.52, 77,523.76 and 29,526 is: 44,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,767.52 : 77,523.76 = 29,526 : x
  2. Step 2: Convert to fraction form
    51,767.52/77,523.76 = 29,526/x
  3. Step 3: Cross multiply
    51,767.52x = 77,523.76 × 29,526
  4. Step 4: Simplify right side
    51,767.52x = 2,288,966,537.76
  5. Step 5: Solve for x
    x = 2,288,966,537.76/51,767.52
  6. Step 6: Final answer
    x = 44,216.27

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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.