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Finding the Fourth Proportional to 32,346.41, 48,478.73 and 14,558.13

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Solution

The fourth proportional to 32,346.41, 48,478.73 and 14,558.13 is: 21,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346.41 : 48,478.73 = 14,558.13 : x
  2. Step 2: Convert to fraction form
    32,346.41/48,478.73 = 14,558.13/x
  3. Step 3: Cross multiply
    32,346.41x = 48,478.73 × 14,558.13
  4. Step 4: Simplify right side
    32,346.41x = 705,759,621.73
  5. Step 5: Solve for x
    x = 705,759,621.73/32,346.41
  6. Step 6: Final answer
    x = 21,818.79

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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.