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Finding the Fourth Proportional to 86,715.80, 130,046.70 and 34,141.40

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Solution

The fourth proportional to 86,715.80, 130,046.70 and 34,141.40 is: 51,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,715.80 : 130,046.70 = 34,141.40 : x
  2. Step 2: Convert to fraction form
    86,715.80/130,046.70 = 34,141.40/x
  3. Step 3: Cross multiply
    86,715.80x = 130,046.70 × 34,141.40
  4. Step 4: Simplify right side
    86,715.80x = 4,439,976,403.38
  5. Step 5: Solve for x
    x = 4,439,976,403.38/86,715.80
  6. Step 6: Final answer
    x = 51,201.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.