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Finding the Fourth Proportional to 83,002.40, 114,543.44 and 45,277.28

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Solution

The fourth proportional to 83,002.40, 114,543.44 and 45,277.28 is: 62,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,002.40 : 114,543.44 = 45,277.28 : x
  2. Step 2: Convert to fraction form
    83,002.40/114,543.44 = 45,277.28/x
  3. Step 3: Cross multiply
    83,002.40x = 114,543.44 × 45,277.28
  4. Step 4: Simplify right side
    83,002.40x = 5,186,215,405.04
  5. Step 5: Solve for x
    x = 5,186,215,405.04/83,002.40
  6. Step 6: Final answer
    x = 62,482.72

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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.