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Finding the Fourth Proportional to 97,443.80, 134,472.86 and 52,731.80

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Solution

The fourth proportional to 97,443.80, 134,472.86 and 52,731.80 is: 72,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,443.80 : 134,472.86 = 52,731.80 : x
  2. Step 2: Convert to fraction form
    97,443.80/134,472.86 = 52,731.80/x
  3. Step 3: Cross multiply
    97,443.80x = 134,472.86 × 52,731.80
  4. Step 4: Simplify right side
    97,443.80x = 7,090,995,958.95
  5. Step 5: Solve for x
    x = 7,090,995,958.95/97,443.80
  6. Step 6: Final answer
    x = 72,770.11

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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.