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Finding the Fourth Proportional to 83,225.25, 114,851.25 and 45,499.50

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Solution

The fourth proportional to 83,225.25, 114,851.25 and 45,499.50 is: 62,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,225.25 : 114,851.25 = 45,499.50 : x
  2. Step 2: Convert to fraction form
    83,225.25/114,851.25 = 45,499.50/x
  3. Step 3: Cross multiply
    83,225.25x = 114,851.25 × 45,499.50
  4. Step 4: Simplify right side
    83,225.25x = 5,225,674,449.38
  5. Step 5: Solve for x
    x = 5,225,674,449.38/83,225.25
  6. Step 6: Final answer
    x = 62,789.53

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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.