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Finding the Fourth Proportional to 32,534.38, 48,708.60 and 30,467.68

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Solution

The fourth proportional to 32,534.38, 48,708.60 and 30,467.68 is: 45,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.38 : 48,708.60 = 30,467.68 : x
  2. Step 2: Convert to fraction form
    32,534.38/48,708.60 = 30,467.68/x
  3. Step 3: Cross multiply
    32,534.38x = 48,708.60 × 30,467.68
  4. Step 4: Simplify right side
    32,534.38x = 1,484,038,038.05
  5. Step 5: Solve for x
    x = 1,484,038,038.05/32,534.38
  6. Step 6: Final answer
    x = 45,614.46

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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.