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Finding the Fourth Proportional to 108,538.13, 162,830.59 and 33,656.78

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Solution

The fourth proportional to 108,538.13, 162,830.59 and 33,656.78 is: 50,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538.13 : 162,830.59 = 33,656.78 : x
  2. Step 2: Convert to fraction form
    108,538.13/162,830.59 = 33,656.78/x
  3. Step 3: Cross multiply
    108,538.13x = 162,830.59 × 33,656.78
  4. Step 4: Simplify right side
    108,538.13x = 5,480,353,667.83
  5. Step 5: Solve for x
    x = 5,480,353,667.83/108,538.13
  6. Step 6: Final answer
    x = 50,492.43

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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.