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Finding the Fourth Proportional to 65,270.54, 97,915.22 and 24,759

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Solution

The fourth proportional to 65,270.54, 97,915.22 and 24,759 is: 37,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,270.54 : 97,915.22 = 24,759 : x
  2. Step 2: Convert to fraction form
    65,270.54/97,915.22 = 24,759/x
  3. Step 3: Cross multiply
    65,270.54x = 97,915.22 × 24,759
  4. Step 4: Simplify right side
    65,270.54x = 2,424,282,931.98
  5. Step 5: Solve for x
    x = 2,424,282,931.98/65,270.54
  6. Step 6: Final answer
    x = 37,142.07

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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.