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Finding the Fourth Proportional to 32,541.92, 48,818.64 and 12,278.24

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Solution

The fourth proportional to 32,541.92, 48,818.64 and 12,278.24 is: 18,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541.92 : 48,818.64 = 12,278.24 : x
  2. Step 2: Convert to fraction form
    32,541.92/48,818.64 = 12,278.24/x
  3. Step 3: Cross multiply
    32,541.92x = 48,818.64 × 12,278.24
  4. Step 4: Simplify right side
    32,541.92x = 599,406,978.39
  5. Step 5: Solve for x
    x = 599,406,978.39/32,541.92
  6. Step 6: Final answer
    x = 18,419.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.