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Finding the Fourth Proportional to 106,565.08, 147,049.32 and 58,815.34

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Solution

The fourth proportional to 106,565.08, 147,049.32 and 58,815.34 is: 81,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.08 : 147,049.32 = 58,815.34 : x
  2. Step 2: Convert to fraction form
    106,565.08/147,049.32 = 58,815.34/x
  3. Step 3: Cross multiply
    106,565.08x = 147,049.32 × 58,815.34
  4. Step 4: Simplify right side
    106,565.08x = 8,648,755,752.57
  5. Step 5: Solve for x
    x = 8,648,755,752.57/106,565.08
  6. Step 6: Final answer
    x = 81,159.38

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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.