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Finding the Fourth Proportional to 87,046, 120,124.20 and 47,302

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Solution

The fourth proportional to 87,046, 120,124.20 and 47,302 is: 65,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,046 : 120,124.20 = 47,302 : x
  2. Step 2: Convert to fraction form
    87,046/120,124.20 = 47,302/x
  3. Step 3: Cross multiply
    87,046x = 120,124.20 × 47,302
  4. Step 4: Simplify right side
    87,046x = 5,682,114,908.40
  5. Step 5: Solve for x
    x = 5,682,114,908.40/87,046
  6. Step 6: Final answer
    x = 65,277.15

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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.