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Finding the Fourth Proportional to 83,226.95, 114,853.17 and 45,501.20

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Solution

The fourth proportional to 83,226.95, 114,853.17 and 45,501.20 is: 62,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.95 : 114,853.17 = 45,501.20 : x
  2. Step 2: Convert to fraction form
    83,226.95/114,853.17 = 45,501.20/x
  3. Step 3: Cross multiply
    83,226.95x = 114,853.17 × 45,501.20
  4. Step 4: Simplify right side
    83,226.95x = 5,225,956,484.54
  5. Step 5: Solve for x
    x = 5,225,956,484.54/83,226.95
  6. Step 6: Final answer
    x = 62,791.64

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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.