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Finding the Fourth Proportional to 80,967.90, 121,415.40 and 31,031.40

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Solution

The fourth proportional to 80,967.90, 121,415.40 and 31,031.40 is: 46,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967.90 : 121,415.40 = 31,031.40 : x
  2. Step 2: Convert to fraction form
    80,967.90/121,415.40 = 31,031.40/x
  3. Step 3: Cross multiply
    80,967.90x = 121,415.40 × 31,031.40
  4. Step 4: Simplify right side
    80,967.90x = 3,767,689,843.56
  5. Step 5: Solve for x
    x = 3,767,689,843.56/80,967.90
  6. Step 6: Final answer
    x = 46,533.13

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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.