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Finding the Fourth Proportional to 90,722.70, 136,051.65 and 31,560.30

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Solution

The fourth proportional to 90,722.70, 136,051.65 and 31,560.30 is: 47,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,722.70 : 136,051.65 = 31,560.30 : x
  2. Step 2: Convert to fraction form
    90,722.70/136,051.65 = 31,560.30/x
  3. Step 3: Cross multiply
    90,722.70x = 136,051.65 × 31,560.30
  4. Step 4: Simplify right side
    90,722.70x = 4,293,830,889.50
  5. Step 5: Solve for x
    x = 4,293,830,889.50/90,722.70
  6. Step 6: Final answer
    x = 47,329.18

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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.