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Finding the Fourth Proportional to 32,458.34, 48,694.56 and 9,969.10

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Solution

The fourth proportional to 32,458.34, 48,694.56 and 9,969.10 is: 14,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.34 : 48,694.56 = 9,969.10 : x
  2. Step 2: Convert to fraction form
    32,458.34/48,694.56 = 9,969.10/x
  3. Step 3: Cross multiply
    32,458.34x = 48,694.56 × 9,969.10
  4. Step 4: Simplify right side
    32,458.34x = 485,440,938.10
  5. Step 5: Solve for x
    x = 485,440,938.10/32,458.34
  6. Step 6: Final answer
    x = 14,955.82

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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.