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Finding the Fourth Proportional to 34,638.32, 47,783.76 and 21,715.27

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Solution

The fourth proportional to 34,638.32, 47,783.76 and 21,715.27 is: 29,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638.32 : 47,783.76 = 21,715.27 : x
  2. Step 2: Convert to fraction form
    34,638.32/47,783.76 = 21,715.27/x
  3. Step 3: Cross multiply
    34,638.32x = 47,783.76 × 21,715.27
  4. Step 4: Simplify right side
    34,638.32x = 1,037,637,250.02
  5. Step 5: Solve for x
    x = 1,037,637,250.02/34,638.32
  6. Step 6: Final answer
    x = 29,956.34

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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.