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Finding the Fourth Proportional to 56,468.48, 77,908.48 and 32,592

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Solution

The fourth proportional to 56,468.48, 77,908.48 and 32,592 is: 44,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,468.48 : 77,908.48 = 32,592 : x
  2. Step 2: Convert to fraction form
    56,468.48/77,908.48 = 32,592/x
  3. Step 3: Cross multiply
    56,468.48x = 77,908.48 × 32,592
  4. Step 4: Simplify right side
    56,468.48x = 2,539,193,180.16
  5. Step 5: Solve for x
    x = 2,539,193,180.16/56,468.48
  6. Step 6: Final answer
    x = 44,966.56

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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.