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Finding the Fourth Proportional to 27,803.94, 38,357.15 and 21,852.90

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Solution

The fourth proportional to 27,803.94, 38,357.15 and 21,852.90 is: 30,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.94 : 38,357.15 = 21,852.90 : x
  2. Step 2: Convert to fraction form
    27,803.94/38,357.15 = 21,852.90/x
  3. Step 3: Cross multiply
    27,803.94x = 38,357.15 × 21,852.90
  4. Step 4: Simplify right side
    27,803.94x = 838,215,113.76
  5. Step 5: Solve for x
    x = 838,215,113.76/27,803.94
  6. Step 6: Final answer
    x = 30,147.35

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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.