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Finding the Fourth Proportional to 107,752.80, 161,684.56 and 47,822.34

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Solution

The fourth proportional to 107,752.80, 161,684.56 and 47,822.34 is: 71,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752.80 : 161,684.56 = 47,822.34 : x
  2. Step 2: Convert to fraction form
    107,752.80/161,684.56 = 47,822.34/x
  3. Step 3: Cross multiply
    107,752.80x = 161,684.56 × 47,822.34
  4. Step 4: Simplify right side
    107,752.80x = 7,732,134,001.07
  5. Step 5: Solve for x
    x = 7,732,134,001.07/107,752.80
  6. Step 6: Final answer
    x = 71,758.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.