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Finding the Fourth Proportional to 45,146.88, 67,720.80 and 12,314.88

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Solution

The fourth proportional to 45,146.88, 67,720.80 and 12,314.88 is: 18,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,146.88 : 67,720.80 = 12,314.88 : x
  2. Step 2: Convert to fraction form
    45,146.88/67,720.80 = 12,314.88/x
  3. Step 3: Cross multiply
    45,146.88x = 67,720.80 × 12,314.88
  4. Step 4: Simplify right side
    45,146.88x = 833,973,525.50
  5. Step 5: Solve for x
    x = 833,973,525.50/45,146.88
  6. Step 6: Final answer
    x = 18,472.45

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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.