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Finding the Fourth Proportional to 32,309.84, 48,464.70 and 10,124.92

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Solution

The fourth proportional to 32,309.84, 48,464.70 and 10,124.92 is: 15,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.84 : 48,464.70 = 10,124.92 : x
  2. Step 2: Convert to fraction form
    32,309.84/48,464.70 = 10,124.92/x
  3. Step 3: Cross multiply
    32,309.84x = 48,464.70 × 10,124.92
  4. Step 4: Simplify right side
    32,309.84x = 490,701,210.32
  5. Step 5: Solve for x
    x = 490,701,210.32/32,309.84
  6. Step 6: Final answer
    x = 15,187.36

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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.