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Finding the Fourth Proportional to 106,500.83, 159,658.29 and 39,923.08

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Solution

The fourth proportional to 106,500.83, 159,658.29 and 39,923.08 is: 59,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500.83 : 159,658.29 = 39,923.08 : x
  2. Step 2: Convert to fraction form
    106,500.83/159,658.29 = 39,923.08/x
  3. Step 3: Cross multiply
    106,500.83x = 159,658.29 × 39,923.08
  4. Step 4: Simplify right side
    106,500.83x = 6,374,050,285.19
  5. Step 5: Solve for x
    x = 6,374,050,285.19/106,500.83
  6. Step 6: Final answer
    x = 59,849.77

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1.5x scale

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.