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Finding the Fourth Proportional to 91,971.70, 137,925.15 and 32,809.30

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Solution

The fourth proportional to 91,971.70, 137,925.15 and 32,809.30 is: 49,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,971.70 : 137,925.15 = 32,809.30 : x
  2. Step 2: Convert to fraction form
    91,971.70/137,925.15 = 32,809.30/x
  3. Step 3: Cross multiply
    91,971.70x = 137,925.15 × 32,809.30
  4. Step 4: Simplify right side
    91,971.70x = 4,525,227,623.90
  5. Step 5: Solve for x
    x = 4,525,227,623.90/91,971.70
  6. Step 6: Final answer
    x = 49,202.39

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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.