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Finding the Fourth Proportional to 88,952, 122,757.60 and 49,208

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Solution

The fourth proportional to 88,952, 122,757.60 and 49,208 is: 67,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,952 : 122,757.60 = 49,208 : x
  2. Step 2: Convert to fraction form
    88,952/122,757.60 = 49,208/x
  3. Step 3: Cross multiply
    88,952x = 122,757.60 × 49,208
  4. Step 4: Simplify right side
    88,952x = 6,040,655,980.80
  5. Step 5: Solve for x
    x = 6,040,655,980.80/88,952
  6. Step 6: Final answer
    x = 67,909.16

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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.