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Finding the Fourth Proportional to 32,434.56, 48,646.40 and 10,546.56

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Solution

The fourth proportional to 32,434.56, 48,646.40 and 10,546.56 is: 15,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.56 : 48,646.40 = 10,546.56 : x
  2. Step 2: Convert to fraction form
    32,434.56/48,646.40 = 10,546.56/x
  3. Step 3: Cross multiply
    32,434.56x = 48,646.40 × 10,546.56
  4. Step 4: Simplify right side
    32,434.56x = 513,052,176.38
  5. Step 5: Solve for x
    x = 513,052,176.38/32,434.56
  6. Step 6: Final answer
    x = 15,818.07

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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.