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Finding the Fourth Proportional to 45,776, 63,167.42 and 27,869.02

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Solution

The fourth proportional to 45,776, 63,167.42 and 27,869.02 is: 38,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,776 : 63,167.42 = 27,869.02 : x
  2. Step 2: Convert to fraction form
    45,776/63,167.42 = 27,869.02/x
  3. Step 3: Cross multiply
    45,776x = 63,167.42 × 27,869.02
  4. Step 4: Simplify right side
    45,776x = 1,760,414,091.33
  5. Step 5: Solve for x
    x = 1,760,414,091.33/45,776
  6. Step 6: Final answer
    x = 38,457.14

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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.