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Finding the Fourth Proportional to 38,944, 53,742.72 and 21,280

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Solution

The fourth proportional to 38,944, 53,742.72 and 21,280 is: 29,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,944 : 53,742.72 = 21,280 : x
  2. Step 2: Convert to fraction form
    38,944/53,742.72 = 21,280/x
  3. Step 3: Cross multiply
    38,944x = 53,742.72 × 21,280
  4. Step 4: Simplify right side
    38,944x = 1,143,645,081.60
  5. Step 5: Solve for x
    x = 1,143,645,081.60/38,944
  6. Step 6: Final answer
    x = 29,366.40

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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.