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Finding the Fourth Proportional to 55,534.80, 76,650.32 and 38,331.31

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Solution

The fourth proportional to 55,534.80, 76,650.32 and 38,331.31 is: 52,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534.80 : 76,650.32 = 38,331.31 : x
  2. Step 2: Convert to fraction form
    55,534.80/76,650.32 = 38,331.31/x
  3. Step 3: Cross multiply
    55,534.80x = 76,650.32 × 38,331.31
  4. Step 4: Simplify right side
    55,534.80x = 2,938,106,985.86
  5. Step 5: Solve for x
    x = 2,938,106,985.86/55,534.80
  6. Step 6: Final answer
    x = 52,905.70

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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.