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Finding the Fourth Proportional to 102,405.80, 153,608.70 and 32,292.20

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Solution

The fourth proportional to 102,405.80, 153,608.70 and 32,292.20 is: 48,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.80 : 153,608.70 = 32,292.20 : x
  2. Step 2: Convert to fraction form
    102,405.80/153,608.70 = 32,292.20/x
  3. Step 3: Cross multiply
    102,405.80x = 153,608.70 × 32,292.20
  4. Step 4: Simplify right side
    102,405.80x = 4,960,362,862.14
  5. Step 5: Solve for x
    x = 4,960,362,862.14/102,405.80
  6. Step 6: Final answer
    x = 48,438.30

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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.