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Finding the Fourth Proportional to 65,116, 97,616.08 and 23,553.76

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Solution

The fourth proportional to 65,116, 97,616.08 and 23,553.76 is: 35,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116 : 97,616.08 = 23,553.76 : x
  2. Step 2: Convert to fraction form
    65,116/97,616.08 = 23,553.76/x
  3. Step 3: Cross multiply
    65,116x = 97,616.08 × 23,553.76
  4. Step 4: Simplify right side
    65,116x = 2,299,225,720.46
  5. Step 5: Solve for x
    x = 2,299,225,720.46/65,116
  6. Step 6: Final answer
    x = 35,309.69

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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.