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Finding the Fourth Proportional to 65,215.10, 97,822.65 and 15,967.10

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Solution

The fourth proportional to 65,215.10, 97,822.65 and 15,967.10 is: 23,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215.10 : 97,822.65 = 15,967.10 : x
  2. Step 2: Convert to fraction form
    65,215.10/97,822.65 = 15,967.10/x
  3. Step 3: Cross multiply
    65,215.10x = 97,822.65 × 15,967.10
  4. Step 4: Simplify right side
    65,215.10x = 1,561,944,034.82
  5. Step 5: Solve for x
    x = 1,561,944,034.82/65,215.10
  6. Step 6: Final answer
    x = 23,950.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.