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Finding the Fourth Proportional to 38,016, 52,462.08 and 21,252.96

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Solution

The fourth proportional to 38,016, 52,462.08 and 21,252.96 is: 29,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 52,462.08 = 21,252.96 : x
  2. Step 2: Convert to fraction form
    38,016/52,462.08 = 21,252.96/x
  3. Step 3: Cross multiply
    38,016x = 52,462.08 × 21,252.96
  4. Step 4: Simplify right side
    38,016x = 1,114,974,487.76
  5. Step 5: Solve for x
    x = 1,114,974,487.76/38,016
  6. Step 6: Final answer
    x = 29,329.08

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1.5x scale

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.