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Finding the Fourth Proportional to 97,171, 145,756.52 and 27,052.16

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Solution

The fourth proportional to 97,171, 145,756.52 and 27,052.16 is: 40,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,171 : 145,756.52 = 27,052.16 : x
  2. Step 2: Convert to fraction form
    97,171/145,756.52 = 27,052.16/x
  3. Step 3: Cross multiply
    97,171x = 145,756.52 × 27,052.16
  4. Step 4: Simplify right side
    97,171x = 3,943,028,700.08
  5. Step 5: Solve for x
    x = 3,943,028,700.08/97,171
  6. Step 6: Final answer
    x = 40,578.25

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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.