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Finding the Fourth Proportional to 83,036.34, 114,589.08 and 45,308.16

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Solution

The fourth proportional to 83,036.34, 114,589.08 and 45,308.16 is: 62,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,036.34 : 114,589.08 = 45,308.16 : x
  2. Step 2: Convert to fraction form
    83,036.34/114,589.08 = 45,308.16/x
  3. Step 3: Cross multiply
    83,036.34x = 114,589.08 × 45,308.16
  4. Step 4: Simplify right side
    83,036.34x = 5,191,820,370.89
  5. Step 5: Solve for x
    x = 5,191,820,370.89/83,036.34
  6. Step 6: Final answer
    x = 62,524.68

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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.