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Finding the Fourth Proportional to 32,562.84, 48,851.63 and 10,377.48

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Solution

The fourth proportional to 32,562.84, 48,851.63 and 10,377.48 is: 15,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.84 : 48,851.63 = 10,377.48 : x
  2. Step 2: Convert to fraction form
    32,562.84/48,851.63 = 10,377.48/x
  3. Step 3: Cross multiply
    32,562.84x = 48,851.63 × 10,377.48
  4. Step 4: Simplify right side
    32,562.84x = 506,956,813.29
  5. Step 5: Solve for x
    x = 506,956,813.29/32,562.84
  6. Step 6: Final answer
    x = 15,568.57

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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.