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Finding the Fourth Proportional to 48,681, 67,182.12 and 27,459.78

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Solution

The fourth proportional to 48,681, 67,182.12 and 27,459.78 is: 37,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681 : 67,182.12 = 27,459.78 : x
  2. Step 2: Convert to fraction form
    48,681/67,182.12 = 27,459.78/x
  3. Step 3: Cross multiply
    48,681x = 67,182.12 × 27,459.78
  4. Step 4: Simplify right side
    48,681x = 1,844,806,235.13
  5. Step 5: Solve for x
    x = 1,844,806,235.13/48,681
  6. Step 6: Final answer
    x = 37,895.82

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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.