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Finding the Fourth Proportional to 76,101.16, 105,019.20 and 43,823.97

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Solution

The fourth proportional to 76,101.16, 105,019.20 and 43,823.97 is: 60,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,101.16 : 105,019.20 = 43,823.97 : x
  2. Step 2: Convert to fraction form
    76,101.16/105,019.20 = 43,823.97/x
  3. Step 3: Cross multiply
    76,101.16x = 105,019.20 × 43,823.97
  4. Step 4: Simplify right side
    76,101.16x = 4,602,358,270.22
  5. Step 5: Solve for x
    x = 4,602,358,270.22/76,101.16
  6. Step 6: Final answer
    x = 60,476.85

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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.