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Finding the Fourth Proportional to 65,297.40, 97,888.65 and 25,882.17

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Solution

The fourth proportional to 65,297.40, 97,888.65 and 25,882.17 is: 38,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,297.40 : 97,888.65 = 25,882.17 : x
  2. Step 2: Convert to fraction form
    65,297.40/97,888.65 = 25,882.17/x
  3. Step 3: Cross multiply
    65,297.40x = 97,888.65 × 25,882.17
  4. Step 4: Simplify right side
    65,297.40x = 2,533,570,680.37
  5. Step 5: Solve for x
    x = 2,533,570,680.37/65,297.40
  6. Step 6: Final answer
    x = 38,800.48

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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.