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Finding the Fourth Proportional to 106,565.79, 159,919.27 and 58,567.91

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Solution

The fourth proportional to 106,565.79, 159,919.27 and 58,567.91 is: 87,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.79 : 159,919.27 = 58,567.91 : x
  2. Step 2: Convert to fraction form
    106,565.79/159,919.27 = 58,567.91/x
  3. Step 3: Cross multiply
    106,565.79x = 159,919.27 × 58,567.91
  4. Step 4: Simplify right side
    106,565.79x = 9,366,137,412.63
  5. Step 5: Solve for x
    x = 9,366,137,412.63/106,565.79
  6. Step 6: Final answer
    x = 87,890.66

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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.