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Finding the Fourth Proportional to 56,508.48, 77,963.68 and 32,632

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Solution

The fourth proportional to 56,508.48, 77,963.68 and 32,632 is: 45,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,508.48 : 77,963.68 = 32,632 : x
  2. Step 2: Convert to fraction form
    56,508.48/77,963.68 = 32,632/x
  3. Step 3: Cross multiply
    56,508.48x = 77,963.68 × 32,632
  4. Step 4: Simplify right side
    56,508.48x = 2,544,110,805.76
  5. Step 5: Solve for x
    x = 2,544,110,805.76/56,508.48
  6. Step 6: Final answer
    x = 45,021.75

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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.