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Finding the Fourth Proportional to 38,114.84, 52,596.70 and 20,886.32

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Solution

The fourth proportional to 38,114.84, 52,596.70 and 20,886.32 is: 28,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.84 : 52,596.70 = 20,886.32 : x
  2. Step 2: Convert to fraction form
    38,114.84/52,596.70 = 20,886.32/x
  3. Step 3: Cross multiply
    38,114.84x = 52,596.70 × 20,886.32
  4. Step 4: Simplify right side
    38,114.84x = 1,098,551,507.14
  5. Step 5: Solve for x
    x = 1,098,551,507.14/38,114.84
  6. Step 6: Final answer
    x = 28,822.15

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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.