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Finding the Fourth Proportional to 56,378.97, 77,712.30 and 38,223.81

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Solution

The fourth proportional to 56,378.97, 77,712.30 and 38,223.81 is: 52,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,378.97 : 77,712.30 = 38,223.81 : x
  2. Step 2: Convert to fraction form
    56,378.97/77,712.30 = 38,223.81/x
  3. Step 3: Cross multiply
    56,378.97x = 77,712.30 × 38,223.81
  4. Step 4: Simplify right side
    56,378.97x = 2,970,460,189.86
  5. Step 5: Solve for x
    x = 2,970,460,189.86/56,378.97
  6. Step 6: Final answer
    x = 52,687.38

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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.