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Finding the Fourth Proportional to 21,048.92, 31,400.85 and 20,476.88

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Solution

The fourth proportional to 21,048.92, 31,400.85 and 20,476.88 is: 30,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.92 : 31,400.85 = 20,476.88 : x
  2. Step 2: Convert to fraction form
    21,048.92/31,400.85 = 20,476.88/x
  3. Step 3: Cross multiply
    21,048.92x = 31,400.85 × 20,476.88
  4. Step 4: Simplify right side
    21,048.92x = 642,991,437.35
  5. Step 5: Solve for x
    x = 642,991,437.35/21,048.92
  6. Step 6: Final answer
    x = 30,547.48

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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.