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Finding the Fourth Proportional to 97,468.44, 134,498.94 and 55,031.16

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Solution

The fourth proportional to 97,468.44, 134,498.94 and 55,031.16 is: 75,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468.44 : 134,498.94 = 55,031.16 : x
  2. Step 2: Convert to fraction form
    97,468.44/134,498.94 = 55,031.16/x
  3. Step 3: Cross multiply
    97,468.44x = 134,498.94 × 55,031.16
  4. Step 4: Simplify right side
    97,468.44x = 7,401,632,686.97
  5. Step 5: Solve for x
    x = 7,401,632,686.97/97,468.44
  6. Step 6: Final answer
    x = 75,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.