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Finding the Fourth Proportional to 83,003.52, 114,543 and 45,279.12

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Solution

The fourth proportional to 83,003.52, 114,543 and 45,279.12 is: 62,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,003.52 : 114,543 = 45,279.12 : x
  2. Step 2: Convert to fraction form
    83,003.52/114,543 = 45,279.12/x
  3. Step 3: Cross multiply
    83,003.52x = 114,543 × 45,279.12
  4. Step 4: Simplify right side
    83,003.52x = 5,186,406,242.16
  5. Step 5: Solve for x
    x = 5,186,406,242.16/83,003.52
  6. Step 6: Final answer
    x = 62,484.17

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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.