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Finding the Fourth Proportional to 51,233, 70,701.54 and 27,681

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Solution

The fourth proportional to 51,233, 70,701.54 and 27,681 is: 38,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,233 : 70,701.54 = 27,681 : x
  2. Step 2: Convert to fraction form
    51,233/70,701.54 = 27,681/x
  3. Step 3: Cross multiply
    51,233x = 70,701.54 × 27,681
  4. Step 4: Simplify right side
    51,233x = 1,957,089,328.74
  5. Step 5: Solve for x
    x = 1,957,089,328.74/51,233
  6. Step 6: Final answer
    x = 38,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.