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Finding the Fourth Proportional to 38,966.76, 53,774.14 and 21,971.04

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Solution

The fourth proportional to 38,966.76, 53,774.14 and 21,971.04 is: 30,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,966.76 : 53,774.14 = 21,971.04 : x
  2. Step 2: Convert to fraction form
    38,966.76/53,774.14 = 21,971.04/x
  3. Step 3: Cross multiply
    38,966.76x = 53,774.14 × 21,971.04
  4. Step 4: Simplify right side
    38,966.76x = 1,181,473,402.18
  5. Step 5: Solve for x
    x = 1,181,473,402.18/38,966.76
  6. Step 6: Final answer
    x = 30,320.04

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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.