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Finding the Fourth Proportional to 65,097, 97,645.52 and 15,849

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Solution

The fourth proportional to 65,097, 97,645.52 and 15,849 is: 23,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097 : 97,645.52 = 15,849 : x
  2. Step 2: Convert to fraction form
    65,097/97,645.52 = 15,849/x
  3. Step 3: Cross multiply
    65,097x = 97,645.52 × 15,849
  4. Step 4: Simplify right side
    65,097x = 1,547,583,846.48
  5. Step 5: Solve for x
    x = 1,547,583,846.48/65,097
  6. Step 6: Final answer
    x = 23,773.50

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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.