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Finding the Fourth Proportional to 38,071.59, 52,538.00 and 21,074.87

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Solution

The fourth proportional to 38,071.59, 52,538.00 and 21,074.87 is: 29,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,071.59 : 52,538.00 = 21,074.87 : x
  2. Step 2: Convert to fraction form
    38,071.59/52,538.00 = 21,074.87/x
  3. Step 3: Cross multiply
    38,071.59x = 52,538.00 × 21,074.87
  4. Step 4: Simplify right side
    38,071.59x = 1,107,231,152.00
  5. Step 5: Solve for x
    x = 1,107,231,152.00/38,071.59
  6. Step 6: Final answer
    x = 29,082.87

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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.