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Finding the Fourth Proportional to 65,300.40, 97,926 and 25,863.12

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Solution

The fourth proportional to 65,300.40, 97,926 and 25,863.12 is: 38,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.40 : 97,926 = 25,863.12 : x
  2. Step 2: Convert to fraction form
    65,300.40/97,926 = 25,863.12/x
  3. Step 3: Cross multiply
    65,300.40x = 97,926 × 25,863.12
  4. Step 4: Simplify right side
    65,300.40x = 2,532,671,889.12
  5. Step 5: Solve for x
    x = 2,532,671,889.12/65,300.40
  6. Step 6: Final answer
    x = 38,784.94

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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.