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Finding the Fourth Proportional to 38,876.08, 53,639.46 and 21,877

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Solution

The fourth proportional to 38,876.08, 53,639.46 and 21,877 is: 30,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,876.08 : 53,639.46 = 21,877 : x
  2. Step 2: Convert to fraction form
    38,876.08/53,639.46 = 21,877/x
  3. Step 3: Cross multiply
    38,876.08x = 53,639.46 × 21,877
  4. Step 4: Simplify right side
    38,876.08x = 1,173,470,466.42
  5. Step 5: Solve for x
    x = 1,173,470,466.42/38,876.08
  6. Step 6: Final answer
    x = 30,184.90

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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.