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Finding the Fourth Proportional to 101,508.22, 152,276.91 and 31,393

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Solution

The fourth proportional to 101,508.22, 152,276.91 and 31,393 is: 47,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,508.22 : 152,276.91 = 31,393 : x
  2. Step 2: Convert to fraction form
    101,508.22/152,276.91 = 31,393/x
  3. Step 3: Cross multiply
    101,508.22x = 152,276.91 × 31,393
  4. Step 4: Simplify right side
    101,508.22x = 4,780,429,035.63
  5. Step 5: Solve for x
    x = 4,780,429,035.63/101,508.22
  6. Step 6: Final answer
    x = 47,094.01

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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.