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Finding the Fourth Proportional to 83,648.12, 115,434.48 and 45,407.64

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Solution

The fourth proportional to 83,648.12, 115,434.48 and 45,407.64 is: 62,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,648.12 : 115,434.48 = 45,407.64 : x
  2. Step 2: Convert to fraction form
    83,648.12/115,434.48 = 45,407.64/x
  3. Step 3: Cross multiply
    83,648.12x = 115,434.48 × 45,407.64
  4. Step 4: Simplify right side
    83,648.12x = 5,241,607,311.43
  5. Step 5: Solve for x
    x = 5,241,607,311.43/83,648.12
  6. Step 6: Final answer
    x = 62,662.58

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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.