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Finding the Fourth Proportional to 97,337.58, 145,977.21 and 34,993.50

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Solution

The fourth proportional to 97,337.58, 145,977.21 and 34,993.50 is: 52,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,337.58 : 145,977.21 = 34,993.50 : x
  2. Step 2: Convert to fraction form
    97,337.58/145,977.21 = 34,993.50/x
  3. Step 3: Cross multiply
    97,337.58x = 145,977.21 × 34,993.50
  4. Step 4: Simplify right side
    97,337.58x = 5,108,253,498.14
  5. Step 5: Solve for x
    x = 5,108,253,498.14/97,337.58
  6. Step 6: Final answer
    x = 52,479.77

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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.