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Finding the Fourth Proportional to 32,557.54, 48,836.32 and 10,377.72

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Solution

The fourth proportional to 32,557.54, 48,836.32 and 10,377.72 is: 15,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.54 : 48,836.32 = 10,377.72 : x
  2. Step 2: Convert to fraction form
    32,557.54/48,836.32 = 10,377.72/x
  3. Step 3: Cross multiply
    32,557.54x = 48,836.32 × 10,377.72
  4. Step 4: Simplify right side
    32,557.54x = 506,809,654.79
  5. Step 5: Solve for x
    x = 506,809,654.79/32,557.54
  6. Step 6: Final answer
    x = 15,566.58

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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.