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Finding the Fourth Proportional to 32,563.68, 48,845.00 and 10,376.76

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Solution

The fourth proportional to 32,563.68, 48,845.00 and 10,376.76 is: 15,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.68 : 48,845.00 = 10,376.76 : x
  2. Step 2: Convert to fraction form
    32,563.68/48,845.00 = 10,376.76/x
  3. Step 3: Cross multiply
    32,563.68x = 48,845.00 × 10,376.76
  4. Step 4: Simplify right side
    32,563.68x = 506,852,790.32
  5. Step 5: Solve for x
    x = 506,852,790.32/32,563.68
  6. Step 6: Final answer
    x = 15,564.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.