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Finding the Fourth Proportional to 102,402.51, 153,611.46 and 32,280

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Solution

The fourth proportional to 102,402.51, 153,611.46 and 32,280 is: 48,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402.51 : 153,611.46 = 32,280 : x
  2. Step 2: Convert to fraction form
    102,402.51/153,611.46 = 32,280/x
  3. Step 3: Cross multiply
    102,402.51x = 153,611.46 × 32,280
  4. Step 4: Simplify right side
    102,402.51x = 4,958,577,928.80
  5. Step 5: Solve for x
    x = 4,958,577,928.80/102,402.51
  6. Step 6: Final answer
    x = 48,422.43

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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.