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Finding the Fourth Proportional to 65,272.84, 97,922.93 and 25,830.29

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Solution

The fourth proportional to 65,272.84, 97,922.93 and 25,830.29 is: 38,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272.84 : 97,922.93 = 25,830.29 : x
  2. Step 2: Convert to fraction form
    65,272.84/97,922.93 = 25,830.29/x
  3. Step 3: Cross multiply
    65,272.84x = 97,922.93 × 25,830.29
  4. Step 4: Simplify right side
    65,272.84x = 2,529,377,795.21
  5. Step 5: Solve for x
    x = 2,529,377,795.21/65,272.84
  6. Step 6: Final answer
    x = 38,750.85

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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.