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Finding the Fourth Proportional to 102,592.80, 153,903.60 and 32,464.80

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Solution

The fourth proportional to 102,592.80, 153,903.60 and 32,464.80 is: 48,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,592.80 : 153,903.60 = 32,464.80 : x
  2. Step 2: Convert to fraction form
    102,592.80/153,903.60 = 32,464.80/x
  3. Step 3: Cross multiply
    102,592.80x = 153,903.60 × 32,464.80
  4. Step 4: Simplify right side
    102,592.80x = 4,996,449,593.28
  5. Step 5: Solve for x
    x = 4,996,449,593.28/102,592.80
  6. Step 6: Final answer
    x = 48,701.76

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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.