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Finding the Fourth Proportional to 32,947.66, 45,467.78 and 17,840.32

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Solution

The fourth proportional to 32,947.66, 45,467.78 and 17,840.32 is: 24,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.66 : 45,467.78 = 17,840.32 : x
  2. Step 2: Convert to fraction form
    32,947.66/45,467.78 = 17,840.32/x
  3. Step 3: Cross multiply
    32,947.66x = 45,467.78 × 17,840.32
  4. Step 4: Simplify right side
    32,947.66x = 811,159,744.89
  5. Step 5: Solve for x
    x = 811,159,744.89/32,947.66
  6. Step 6: Final answer
    x = 24,619.65

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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.