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Finding the Fourth Proportional to 107,862.42, 161,866.54 and 37,742.34

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Solution

The fourth proportional to 107,862.42, 161,866.54 and 37,742.34 is: 56,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,862.42 : 161,866.54 = 37,742.34 : x
  2. Step 2: Convert to fraction form
    107,862.42/161,866.54 = 37,742.34/x
  3. Step 3: Cross multiply
    107,862.42x = 161,866.54 × 37,742.34
  4. Step 4: Simplify right side
    107,862.42x = 6,109,221,987.30
  5. Step 5: Solve for x
    x = 6,109,221,987.30/107,862.42
  6. Step 6: Final answer
    x = 56,639.02

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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.