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Finding the Fourth Proportional to 86,652.25, 129,978.38 and 31,248.25

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Solution

The fourth proportional to 86,652.25, 129,978.38 and 31,248.25 is: 46,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,652.25 : 129,978.38 = 31,248.25 : x
  2. Step 2: Convert to fraction form
    86,652.25/129,978.38 = 31,248.25/x
  3. Step 3: Cross multiply
    86,652.25x = 129,978.38 × 31,248.25
  4. Step 4: Simplify right side
    86,652.25x = 4,061,596,912.84
  5. Step 5: Solve for x
    x = 4,061,596,912.84/86,652.25
  6. Step 6: Final answer
    x = 46,872.38

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1.5x scale

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.