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Finding the Fourth Proportional to 65,329.06, 97,998.15 and 25,886.06

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Solution

The fourth proportional to 65,329.06, 97,998.15 and 25,886.06 is: 38,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,329.06 : 97,998.15 = 25,886.06 : x
  2. Step 2: Convert to fraction form
    65,329.06/97,998.15 = 25,886.06/x
  3. Step 3: Cross multiply
    65,329.06x = 97,998.15 × 25,886.06
  4. Step 4: Simplify right side
    65,329.06x = 2,536,785,990.79
  5. Step 5: Solve for x
    x = 2,536,785,990.79/65,329.06
  6. Step 6: Final answer
    x = 38,830.90

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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.