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Finding the Fourth Proportional to 107,718.58, 161,502.92 and 47,714.50

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Solution

The fourth proportional to 107,718.58, 161,502.92 and 47,714.50 is: 71,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,718.58 : 161,502.92 = 47,714.50 : x
  2. Step 2: Convert to fraction form
    107,718.58/161,502.92 = 47,714.50/x
  3. Step 3: Cross multiply
    107,718.58x = 161,502.92 × 47,714.50
  4. Step 4: Simplify right side
    107,718.58x = 7,706,031,076.34
  5. Step 5: Solve for x
    x = 7,706,031,076.34/107,718.58
  6. Step 6: Final answer
    x = 71,538.55

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