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Finding the Fourth Proportional to 106,529.48, 147,007.14 and 58,782.86

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Solution

The fourth proportional to 106,529.48, 147,007.14 and 58,782.86 is: 81,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,529.48 : 147,007.14 = 58,782.86 : x
  2. Step 2: Convert to fraction form
    106,529.48/147,007.14 = 58,782.86/x
  3. Step 3: Cross multiply
    106,529.48x = 147,007.14 × 58,782.86
  4. Step 4: Simplify right side
    106,529.48x = 8,641,500,129.62
  5. Step 5: Solve for x
    x = 8,641,500,129.62/106,529.48
  6. Step 6: Final answer
    x = 81,118.39

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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.