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Finding the Fourth Proportional to 45,776.72, 63,154.68 and 27,866

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Solution

The fourth proportional to 45,776.72, 63,154.68 and 27,866 is: 38,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,776.72 : 63,154.68 = 27,866 : x
  2. Step 2: Convert to fraction form
    45,776.72/63,154.68 = 27,866/x
  3. Step 3: Cross multiply
    45,776.72x = 63,154.68 × 27,866
  4. Step 4: Simplify right side
    45,776.72x = 1,759,868,312.88
  5. Step 5: Solve for x
    x = 1,759,868,312.88/45,776.72
  6. Step 6: Final answer
    x = 38,444.61

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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.