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Finding the Fourth Proportional to 76,934.16, 106,165.04 and 43,398

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Solution

The fourth proportional to 76,934.16, 106,165.04 and 43,398 is: 59,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,934.16 : 106,165.04 = 43,398 : x
  2. Step 2: Convert to fraction form
    76,934.16/106,165.04 = 43,398/x
  3. Step 3: Cross multiply
    76,934.16x = 106,165.04 × 43,398
  4. Step 4: Simplify right side
    76,934.16x = 4,607,350,405.92
  5. Step 5: Solve for x
    x = 4,607,350,405.92/76,934.16
  6. Step 6: Final answer
    x = 59,886.93

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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.