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Finding the Fourth Proportional to 106,713.86, 160,068.96 and 31,834.22

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Solution

The fourth proportional to 106,713.86, 160,068.96 and 31,834.22 is: 47,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713.86 : 160,068.96 = 31,834.22 : x
  2. Step 2: Convert to fraction form
    106,713.86/160,068.96 = 31,834.22/x
  3. Step 3: Cross multiply
    106,713.86x = 160,068.96 × 31,834.22
  4. Step 4: Simplify right side
    106,713.86x = 5,095,670,487.81
  5. Step 5: Solve for x
    x = 5,095,670,487.81/106,713.86
  6. Step 6: Final answer
    x = 47,750.78

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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.