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Finding the Fourth Proportional to 75,282.63, 103,882.54 and 43,461.78

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Solution

The fourth proportional to 75,282.63, 103,882.54 and 43,461.78 is: 59,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282.63 : 103,882.54 = 43,461.78 : x
  2. Step 2: Convert to fraction form
    75,282.63/103,882.54 = 43,461.78/x
  3. Step 3: Cross multiply
    75,282.63x = 103,882.54 × 43,461.78
  4. Step 4: Simplify right side
    75,282.63x = 4,514,920,099.32
  5. Step 5: Solve for x
    x = 4,514,920,099.32/75,282.63
  6. Step 6: Final answer
    x = 59,972.93

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1.5x scale

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.