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Finding the Fourth Proportional to 82,496.76, 123,754.86 and 61,851.48

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Solution

The fourth proportional to 82,496.76, 123,754.86 and 61,851.48 is: 92,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496.76 : 123,754.86 = 61,851.48 : x
  2. Step 2: Convert to fraction form
    82,496.76/123,754.86 = 61,851.48/x
  3. Step 3: Cross multiply
    82,496.76x = 123,754.86 × 61,851.48
  4. Step 4: Simplify right side
    82,496.76x = 7,654,421,248.19
  5. Step 5: Solve for x
    x = 7,654,421,248.19/82,496.76
  6. Step 6: Final answer
    x = 92,784.51

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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.