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Finding the Fourth Proportional to 97,164, 145,745.98 and 37,958.14

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Solution

The fourth proportional to 97,164, 145,745.98 and 37,958.14 is: 56,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164 : 145,745.98 = 37,958.14 : x
  2. Step 2: Convert to fraction form
    97,164/145,745.98 = 37,958.14/x
  3. Step 3: Cross multiply
    97,164x = 145,745.98 × 37,958.14
  4. Step 4: Simplify right side
    97,164x = 5,532,246,313.28
  5. Step 5: Solve for x
    x = 5,532,246,313.28/97,164
  6. Step 6: Final answer
    x = 56,937.20

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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.