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Finding the Fourth Proportional to 65,218.60, 97,827.90 and 25,759.72

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Solution

The fourth proportional to 65,218.60, 97,827.90 and 25,759.72 is: 38,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.60 : 97,827.90 = 25,759.72 : x
  2. Step 2: Convert to fraction form
    65,218.60/97,827.90 = 25,759.72/x
  3. Step 3: Cross multiply
    65,218.60x = 97,827.90 × 25,759.72
  4. Step 4: Simplify right side
    65,218.60x = 2,520,019,312.19
  5. Step 5: Solve for x
    x = 2,520,019,312.19/65,218.60
  6. Step 6: Final answer
    x = 38,639.58

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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.