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Finding the Fourth Proportional to 97,462.71, 134,498.52 and 55,023.98

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Solution

The fourth proportional to 97,462.71, 134,498.52 and 55,023.98 is: 75,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462.71 : 134,498.52 = 55,023.98 : x
  2. Step 2: Convert to fraction form
    97,462.71/134,498.52 = 55,023.98/x
  3. Step 3: Cross multiply
    97,462.71x = 134,498.52 × 55,023.98
  4. Step 4: Simplify right side
    97,462.71x = 7,400,643,202.02
  5. Step 5: Solve for x
    x = 7,400,643,202.02/97,462.71
  6. Step 6: Final answer
    x = 75,933.07

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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.