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Finding the Fourth Proportional to 74,693.76, 112,058.04 and 33,144

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Solution

The fourth proportional to 74,693.76, 112,058.04 and 33,144 is: 49,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,693.76 : 112,058.04 = 33,144 : x
  2. Step 2: Convert to fraction form
    74,693.76/112,058.04 = 33,144/x
  3. Step 3: Cross multiply
    74,693.76x = 112,058.04 × 33,144
  4. Step 4: Simplify right side
    74,693.76x = 3,714,051,677.76
  5. Step 5: Solve for x
    x = 3,714,051,677.76/74,693.76
  6. Step 6: Final answer
    x = 49,723.72

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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.