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Finding the Fourth Proportional to 32,384.95, 48,518.24 and 23,478.20

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Solution

The fourth proportional to 32,384.95, 48,518.24 and 23,478.20 is: 35,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.95 : 48,518.24 = 23,478.20 : x
  2. Step 2: Convert to fraction form
    32,384.95/48,518.24 = 23,478.20/x
  3. Step 3: Cross multiply
    32,384.95x = 48,518.24 × 23,478.20
  4. Step 4: Simplify right side
    32,384.95x = 1,139,121,169.31
  5. Step 5: Solve for x
    x = 1,139,121,169.31/32,384.95
  6. Step 6: Final answer
    x = 35,174.40

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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.