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Finding the Fourth Proportional to 56,357.48, 77,773.20 and 32,484

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Solution

The fourth proportional to 56,357.48, 77,773.20 and 32,484 is: 44,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,357.48 : 77,773.20 = 32,484 : x
  2. Step 2: Convert to fraction form
    56,357.48/77,773.20 = 32,484/x
  3. Step 3: Cross multiply
    56,357.48x = 77,773.20 × 32,484
  4. Step 4: Simplify right side
    56,357.48x = 2,526,384,628.80
  5. Step 5: Solve for x
    x = 2,526,384,628.80/56,357.48
  6. Step 6: Final answer
    x = 44,827.85

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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.