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Finding the Fourth Proportional to 32,947.57, 49,420.95 and 13,225.78

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Solution

The fourth proportional to 32,947.57, 49,420.95 and 13,225.78 is: 19,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.57 : 49,420.95 = 13,225.78 : x
  2. Step 2: Convert to fraction form
    32,947.57/49,420.95 = 13,225.78/x
  3. Step 3: Cross multiply
    32,947.57x = 49,420.95 × 13,225.78
  4. Step 4: Simplify right side
    32,947.57x = 653,630,612.09
  5. Step 5: Solve for x
    x = 653,630,612.09/32,947.57
  6. Step 6: Final answer
    x = 19,838.51

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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.