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Finding the Fourth Proportional to 106,983.18, 160,501.50 and 32,104.70

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Solution

The fourth proportional to 106,983.18, 160,501.50 and 32,104.70 is: 48,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983.18 : 160,501.50 = 32,104.70 : x
  2. Step 2: Convert to fraction form
    106,983.18/160,501.50 = 32,104.70/x
  3. Step 3: Cross multiply
    106,983.18x = 160,501.50 × 32,104.70
  4. Step 4: Simplify right side
    106,983.18x = 5,152,853,209.24
  5. Step 5: Solve for x
    x = 5,152,853,209.24/106,983.18
  6. Step 6: Final answer
    x = 48,165.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.