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Finding the Fourth Proportional to 82,851.50, 114,335.52 and 45,125.84

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Solution

The fourth proportional to 82,851.50, 114,335.52 and 45,125.84 is: 62,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.50 : 114,335.52 = 45,125.84 : x
  2. Step 2: Convert to fraction form
    82,851.50/114,335.52 = 45,125.84/x
  3. Step 3: Cross multiply
    82,851.50x = 114,335.52 × 45,125.84
  4. Step 4: Simplify right side
    82,851.50x = 5,159,486,381.84
  5. Step 5: Solve for x
    x = 5,159,486,381.84/82,851.50
  6. Step 6: Final answer
    x = 62,273.90

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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.