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Finding the Fourth Proportional to 32,834.45, 49,275.98 and 24,420.17

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Solution

The fourth proportional to 32,834.45, 49,275.98 and 24,420.17 is: 36,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.45 : 49,275.98 = 24,420.17 : x
  2. Step 2: Convert to fraction form
    32,834.45/49,275.98 = 24,420.17/x
  3. Step 3: Cross multiply
    32,834.45x = 49,275.98 × 24,420.17
  4. Step 4: Simplify right side
    32,834.45x = 1,203,327,440.04
  5. Step 5: Solve for x
    x = 1,203,327,440.04/32,834.45
  6. Step 6: Final answer
    x = 36,648.33

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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.