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Finding the Fourth Proportional to 65,130.75, 97,696.13 and 15,882.75

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Solution

The fourth proportional to 65,130.75, 97,696.13 and 15,882.75 is: 23,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.75 : 97,696.13 = 15,882.75 : x
  2. Step 2: Convert to fraction form
    65,130.75/97,696.13 = 15,882.75/x
  3. Step 3: Cross multiply
    65,130.75x = 97,696.13 × 15,882.75
  4. Step 4: Simplify right side
    65,130.75x = 1,551,683,129.34
  5. Step 5: Solve for x
    x = 1,551,683,129.34/65,130.75
  6. Step 6: Final answer
    x = 23,824.13

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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.