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Finding the Fourth Proportional to 82,959.64, 124,464.06 and 33,011.26

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Solution

The fourth proportional to 82,959.64, 124,464.06 and 33,011.26 is: 49,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.64 : 124,464.06 = 33,011.26 : x
  2. Step 2: Convert to fraction form
    82,959.64/124,464.06 = 33,011.26/x
  3. Step 3: Cross multiply
    82,959.64x = 124,464.06 × 33,011.26
  4. Step 4: Simplify right side
    82,959.64x = 4,108,715,445.32
  5. Step 5: Solve for x
    x = 4,108,715,445.32/82,959.64
  6. Step 6: Final answer
    x = 49,526.68

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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.