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Finding the Fourth Proportional to 83,384.40, 115,097.16 and 49,390.80

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Solution

The fourth proportional to 83,384.40, 115,097.16 and 49,390.80 is: 68,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384.40 : 115,097.16 = 49,390.80 : x
  2. Step 2: Convert to fraction form
    83,384.40/115,097.16 = 49,390.80/x
  3. Step 3: Cross multiply
    83,384.40x = 115,097.16 × 49,390.80
  4. Step 4: Simplify right side
    83,384.40x = 5,684,740,810.13
  5. Step 5: Solve for x
    x = 5,684,740,810.13/83,384.40
  6. Step 6: Final answer
    x = 68,175.11

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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.