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Finding the Fourth Proportional to 102,598.80, 153,912.60 and 32,470.80

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Solution

The fourth proportional to 102,598.80, 153,912.60 and 32,470.80 is: 48,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.80 : 153,912.60 = 32,470.80 : x
  2. Step 2: Convert to fraction form
    102,598.80/153,912.60 = 32,470.80/x
  3. Step 3: Cross multiply
    102,598.80x = 153,912.60 × 32,470.80
  4. Step 4: Simplify right side
    102,598.80x = 4,997,665,252.08
  5. Step 5: Solve for x
    x = 4,997,665,252.08/102,598.80
  6. Step 6: Final answer
    x = 48,710.76

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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.