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Finding the Fourth Proportional to 64,952.29, 97,431.14 and 20,578.06

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Solution

The fourth proportional to 64,952.29, 97,431.14 and 20,578.06 is: 30,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.29 : 97,431.14 = 20,578.06 : x
  2. Step 2: Convert to fraction form
    64,952.29/97,431.14 = 20,578.06/x
  3. Step 3: Cross multiply
    64,952.29x = 97,431.14 × 20,578.06
  4. Step 4: Simplify right side
    64,952.29x = 2,004,943,844.79
  5. Step 5: Solve for x
    x = 2,004,943,844.79/64,952.29
  6. Step 6: Final answer
    x = 30,867.95

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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.