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Finding the Fourth Proportional to 76,616.24, 105,740.04 and 43,082

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Solution

The fourth proportional to 76,616.24, 105,740.04 and 43,082 is: 59,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,616.24 : 105,740.04 = 43,082 : x
  2. Step 2: Convert to fraction form
    76,616.24/105,740.04 = 43,082/x
  3. Step 3: Cross multiply
    76,616.24x = 105,740.04 × 43,082
  4. Step 4: Simplify right side
    76,616.24x = 4,555,492,403.28
  5. Step 5: Solve for x
    x = 4,555,492,403.28/76,616.24
  6. Step 6: Final answer
    x = 59,458.57

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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.