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Finding the Fourth Proportional to 38,206.53, 52,724.01 and 21,209.88

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Solution

The fourth proportional to 38,206.53, 52,724.01 and 21,209.88 is: 29,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.53 : 52,724.01 = 21,209.88 : x
  2. Step 2: Convert to fraction form
    38,206.53/52,724.01 = 21,209.88/x
  3. Step 3: Cross multiply
    38,206.53x = 52,724.01 × 21,209.88
  4. Step 4: Simplify right side
    38,206.53x = 1,118,269,925.22
  5. Step 5: Solve for x
    x = 1,118,269,925.22/38,206.53
  6. Step 6: Final answer
    x = 29,269.08

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