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Finding the Fourth Proportional to 67,516.76, 101,287.44 and 23,148

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Solution

The fourth proportional to 67,516.76, 101,287.44 and 23,148 is: 34,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,516.76 : 101,287.44 = 23,148 : x
  2. Step 2: Convert to fraction form
    67,516.76/101,287.44 = 23,148/x
  3. Step 3: Cross multiply
    67,516.76x = 101,287.44 × 23,148
  4. Step 4: Simplify right side
    67,516.76x = 2,344,601,661.12
  5. Step 5: Solve for x
    x = 2,344,601,661.12/67,516.76
  6. Step 6: Final answer
    x = 34,726.22

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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.