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Finding the Fourth Proportional to 38,025, 52,474.68 and 21,258

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Solution

The fourth proportional to 38,025, 52,474.68 and 21,258 is: 29,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025 : 52,474.68 = 21,258 : x
  2. Step 2: Convert to fraction form
    38,025/52,474.68 = 21,258/x
  3. Step 3: Cross multiply
    38,025x = 52,474.68 × 21,258
  4. Step 4: Simplify right side
    38,025x = 1,115,506,747.44
  5. Step 5: Solve for x
    x = 1,115,506,747.44/38,025
  6. Step 6: Final answer
    x = 29,336.14

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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.