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Finding the Fourth Proportional to 32,312.76, 48,474.66 and 10,121.82

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Solution

The fourth proportional to 32,312.76, 48,474.66 and 10,121.82 is: 15,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312.76 : 48,474.66 = 10,121.82 : x
  2. Step 2: Convert to fraction form
    32,312.76/48,474.66 = 10,121.82/x
  3. Step 3: Cross multiply
    32,312.76x = 48,474.66 × 10,121.82
  4. Step 4: Simplify right side
    32,312.76x = 490,651,783.08
  5. Step 5: Solve for x
    x = 490,651,783.08/32,312.76
  6. Step 6: Final answer
    x = 15,184.46

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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.