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Finding the Fourth Proportional to 32,847.66, 49,256.64 and 15,322.50

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Solution

The fourth proportional to 32,847.66, 49,256.64 and 15,322.50 is: 22,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.66 : 49,256.64 = 15,322.50 : x
  2. Step 2: Convert to fraction form
    32,847.66/49,256.64 = 15,322.50/x
  3. Step 3: Cross multiply
    32,847.66x = 49,256.64 × 15,322.50
  4. Step 4: Simplify right side
    32,847.66x = 754,734,866.40
  5. Step 5: Solve for x
    x = 754,734,866.40/32,847.66
  6. Step 6: Final answer
    x = 22,976.82

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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.