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Finding the Fourth Proportional to 65,114.72, 97,672.08 and 23,552

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Solution

The fourth proportional to 65,114.72, 97,672.08 and 23,552 is: 35,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.72 : 97,672.08 = 23,552 : x
  2. Step 2: Convert to fraction form
    65,114.72/97,672.08 = 23,552/x
  3. Step 3: Cross multiply
    65,114.72x = 97,672.08 × 23,552
  4. Step 4: Simplify right side
    65,114.72x = 2,300,372,828.16
  5. Step 5: Solve for x
    x = 2,300,372,828.16/65,114.72
  6. Step 6: Final answer
    x = 35,328

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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.