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Finding the Fourth Proportional to 42,116.32, 63,261.90 and 33,412.12

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Solution

The fourth proportional to 42,116.32, 63,261.90 and 33,412.12 is: 50,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,116.32 : 63,261.90 = 33,412.12 : x
  2. Step 2: Convert to fraction form
    42,116.32/63,261.90 = 33,412.12/x
  3. Step 3: Cross multiply
    42,116.32x = 63,261.90 × 33,412.12
  4. Step 4: Simplify right side
    42,116.32x = 2,113,714,194.23
  5. Step 5: Solve for x
    x = 2,113,714,194.23/42,116.32
  6. Step 6: Final answer
    x = 50,187.53

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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.