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Finding the Fourth Proportional to 102,729.60, 154,094.40 and 32,614.40

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Solution

The fourth proportional to 102,729.60, 154,094.40 and 32,614.40 is: 48,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,729.60 : 154,094.40 = 32,614.40 : x
  2. Step 2: Convert to fraction form
    102,729.60/154,094.40 = 32,614.40/x
  3. Step 3: Cross multiply
    102,729.60x = 154,094.40 × 32,614.40
  4. Step 4: Simplify right side
    102,729.60x = 5,025,696,399.36
  5. Step 5: Solve for x
    x = 5,025,696,399.36/102,729.60
  6. Step 6: Final answer
    x = 48,921.60

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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.