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Finding the Fourth Proportional to 30,976.66, 42,744.84 and 17,545.32

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Solution

The fourth proportional to 30,976.66, 42,744.84 and 17,545.32 is: 24,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.66 : 42,744.84 = 17,545.32 : x
  2. Step 2: Convert to fraction form
    30,976.66/42,744.84 = 17,545.32/x
  3. Step 3: Cross multiply
    30,976.66x = 42,744.84 × 17,545.32
  4. Step 4: Simplify right side
    30,976.66x = 749,971,896.15
  5. Step 5: Solve for x
    x = 749,971,896.15/30,976.66
  6. Step 6: Final answer
    x = 24,210.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.