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Finding the Fourth Proportional to 66,722.01, 100,093.95 and 31,642.53

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Solution

The fourth proportional to 66,722.01, 100,093.95 and 31,642.53 is: 47,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,722.01 : 100,093.95 = 31,642.53 : x
  2. Step 2: Convert to fraction form
    66,722.01/100,093.95 = 31,642.53/x
  3. Step 3: Cross multiply
    66,722.01x = 100,093.95 × 31,642.53
  4. Step 4: Simplify right side
    66,722.01x = 3,167,225,815.69
  5. Step 5: Solve for x
    x = 3,167,225,815.69/66,722.01
  6. Step 6: Final answer
    x = 47,468.98

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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.