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Finding the Fourth Proportional to 82,196.34, 113,432.76 and 45,402.46

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Solution

The fourth proportional to 82,196.34, 113,432.76 and 45,402.46 is: 62,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.34 : 113,432.76 = 45,402.46 : x
  2. Step 2: Convert to fraction form
    82,196.34/113,432.76 = 45,402.46/x
  3. Step 3: Cross multiply
    82,196.34x = 113,432.76 × 45,402.46
  4. Step 4: Simplify right side
    82,196.34x = 5,150,126,348.59
  5. Step 5: Solve for x
    x = 5,150,126,348.59/82,196.34
  6. Step 6: Final answer
    x = 62,656.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.