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Finding the Fourth Proportional to 32,461.68, 48,694.24 and 10,277.40

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Solution

The fourth proportional to 32,461.68, 48,694.24 and 10,277.40 is: 15,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.68 : 48,694.24 = 10,277.40 : x
  2. Step 2: Convert to fraction form
    32,461.68/48,694.24 = 10,277.40/x
  3. Step 3: Cross multiply
    32,461.68x = 48,694.24 × 10,277.40
  4. Step 4: Simplify right side
    32,461.68x = 500,450,182.18
  5. Step 5: Solve for x
    x = 500,450,182.18/32,461.68
  6. Step 6: Final answer
    x = 15,416.64

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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.