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Finding the Fourth Proportional to 38,205.65, 52,724.25 and 21,210.23

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Solution

The fourth proportional to 38,205.65, 52,724.25 and 21,210.23 is: 29,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.65 : 52,724.25 = 21,210.23 : x
  2. Step 2: Convert to fraction form
    38,205.65/52,724.25 = 21,210.23/x
  3. Step 3: Cross multiply
    38,205.65x = 52,724.25 × 21,210.23
  4. Step 4: Simplify right side
    38,205.65x = 1,118,293,205.46
  5. Step 5: Solve for x
    x = 1,118,293,205.46/38,205.65
  6. Step 6: Final answer
    x = 29,270.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.