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Finding the Fourth Proportional to 54,864.75, 75,713.36 and 29,714.25

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Solution

The fourth proportional to 54,864.75, 75,713.36 and 29,714.25 is: 41,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864.75 : 75,713.36 = 29,714.25 : x
  2. Step 2: Convert to fraction form
    54,864.75/75,713.36 = 29,714.25/x
  3. Step 3: Cross multiply
    54,864.75x = 75,713.36 × 29,714.25
  4. Step 4: Simplify right side
    54,864.75x = 2,249,765,707.38
  5. Step 5: Solve for x
    x = 2,249,765,707.38/54,864.75
  6. Step 6: Final answer
    x = 41,005.67

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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.