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Finding the Fourth Proportional to 42,212.50, 63,340.62 and 21,436

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Solution

The fourth proportional to 42,212.50, 63,340.62 and 21,436 is: 32,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,212.50 : 63,340.62 = 21,436 : x
  2. Step 2: Convert to fraction form
    42,212.50/63,340.62 = 21,436/x
  3. Step 3: Cross multiply
    42,212.50x = 63,340.62 × 21,436
  4. Step 4: Simplify right side
    42,212.50x = 1,357,769,530.32
  5. Step 5: Solve for x
    x = 1,357,769,530.32/42,212.50
  6. Step 6: Final answer
    x = 32,165.11

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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.