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Finding the Fourth Proportional to 88,040.34, 121,494.96 and 47,754

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Solution

The fourth proportional to 88,040.34, 121,494.96 and 47,754 is: 65,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,040.34 : 121,494.96 = 47,754 : x
  2. Step 2: Convert to fraction form
    88,040.34/121,494.96 = 47,754/x
  3. Step 3: Cross multiply
    88,040.34x = 121,494.96 × 47,754
  4. Step 4: Simplify right side
    88,040.34x = 5,801,870,319.84
  5. Step 5: Solve for x
    x = 5,801,870,319.84/88,040.34
  6. Step 6: Final answer
    x = 65,900.14

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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.