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Finding the Fourth Proportional to 106,543.65, 147,029.73 and 58,799.93

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Solution

The fourth proportional to 106,543.65, 147,029.73 and 58,799.93 is: 81,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.65 : 147,029.73 = 58,799.93 : x
  2. Step 2: Convert to fraction form
    106,543.65/147,029.73 = 58,799.93/x
  3. Step 3: Cross multiply
    106,543.65x = 147,029.73 × 58,799.93
  4. Step 4: Simplify right side
    106,543.65x = 8,645,337,207.02
  5. Step 5: Solve for x
    x = 8,645,337,207.02/106,543.65
  6. Step 6: Final answer
    x = 81,143.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.