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Finding the Fourth Proportional to 91,965.80, 137,948.70 and 32,868.20

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Solution

The fourth proportional to 91,965.80, 137,948.70 and 32,868.20 is: 49,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,965.80 : 137,948.70 = 32,868.20 : x
  2. Step 2: Convert to fraction form
    91,965.80/137,948.70 = 32,868.20/x
  3. Step 3: Cross multiply
    91,965.80x = 137,948.70 × 32,868.20
  4. Step 4: Simplify right side
    91,965.80x = 4,534,125,461.34
  5. Step 5: Solve for x
    x = 4,534,125,461.34/91,965.80
  6. Step 6: Final answer
    x = 49,302.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.