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Finding the Fourth Proportional to 37,060, 51,103.06 and 29,882.38

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Solution

The fourth proportional to 37,060, 51,103.06 and 29,882.38 is: 41,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,060 : 51,103.06 = 29,882.38 : x
  2. Step 2: Convert to fraction form
    37,060/51,103.06 = 29,882.38/x
  3. Step 3: Cross multiply
    37,060x = 51,103.06 × 29,882.38
  4. Step 4: Simplify right side
    37,060x = 1,527,081,058.08
  5. Step 5: Solve for x
    x = 1,527,081,058.08/37,060
  6. Step 6: Final answer
    x = 41,205.64

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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.