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Finding the Fourth Proportional to 75,219.50, 112,881.10 and 25,971.50

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Solution

The fourth proportional to 75,219.50, 112,881.10 and 25,971.50 is: 38,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,219.50 : 112,881.10 = 25,971.50 : x
  2. Step 2: Convert to fraction form
    75,219.50/112,881.10 = 25,971.50/x
  3. Step 3: Cross multiply
    75,219.50x = 112,881.10 × 25,971.50
  4. Step 4: Simplify right side
    75,219.50x = 2,931,691,488.65
  5. Step 5: Solve for x
    x = 2,931,691,488.65/75,219.50
  6. Step 6: Final answer
    x = 38,975.15

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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.