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Finding the Fourth Proportional to 21,293.32, 31,726.01 and 20,101

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Solution

The fourth proportional to 21,293.32, 31,726.01 and 20,101 is: 29,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.32 : 31,726.01 = 20,101 : x
  2. Step 2: Convert to fraction form
    21,293.32/31,726.01 = 20,101/x
  3. Step 3: Cross multiply
    21,293.32x = 31,726.01 × 20,101
  4. Step 4: Simplify right side
    21,293.32x = 637,724,527.01
  5. Step 5: Solve for x
    x = 637,724,527.01/21,293.32
  6. Step 6: Final answer
    x = 29,949.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.