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Finding the Fourth Proportional to 82,807.76, 124,182.48 and 26,645.60

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Solution

The fourth proportional to 82,807.76, 124,182.48 and 26,645.60 is: 39,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,807.76 : 124,182.48 = 26,645.60 : x
  2. Step 2: Convert to fraction form
    82,807.76/124,182.48 = 26,645.60/x
  3. Step 3: Cross multiply
    82,807.76x = 124,182.48 × 26,645.60
  4. Step 4: Simplify right side
    82,807.76x = 3,308,916,689.09
  5. Step 5: Solve for x
    x = 3,308,916,689.09/82,807.76
  6. Step 6: Final answer
    x = 39,959.02

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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.