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Finding the Fourth Proportional to 65,123.39, 97,734.30 and 47,638.33

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Solution

The fourth proportional to 65,123.39, 97,734.30 and 47,638.33 is: 71,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.39 : 97,734.30 = 47,638.33 : x
  2. Step 2: Convert to fraction form
    65,123.39/97,734.30 = 47,638.33/x
  3. Step 3: Cross multiply
    65,123.39x = 97,734.30 × 47,638.33
  4. Step 4: Simplify right side
    65,123.39x = 4,655,898,412.74
  5. Step 5: Solve for x
    x = 4,655,898,412.74/65,123.39
  6. Step 6: Final answer
    x = 71,493.49

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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.