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Finding the Fourth Proportional to 81,005.32, 121,507.98 and 25,597

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Solution

The fourth proportional to 81,005.32, 121,507.98 and 25,597 is: 38,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,005.32 : 121,507.98 = 25,597 : x
  2. Step 2: Convert to fraction form
    81,005.32/121,507.98 = 25,597/x
  3. Step 3: Cross multiply
    81,005.32x = 121,507.98 × 25,597
  4. Step 4: Simplify right side
    81,005.32x = 3,110,239,764.06
  5. Step 5: Solve for x
    x = 3,110,239,764.06/81,005.32
  6. Step 6: Final answer
    x = 38,395.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.