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Finding the Fourth Proportional to 61,461.32, 92,199.11 and 21,467.92

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Solution

The fourth proportional to 61,461.32, 92,199.11 and 21,467.92 is: 32,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461.32 : 92,199.11 = 21,467.92 : x
  2. Step 2: Convert to fraction form
    61,461.32/92,199.11 = 21,467.92/x
  3. Step 3: Cross multiply
    61,461.32x = 92,199.11 × 21,467.92
  4. Step 4: Simplify right side
    61,461.32x = 1,979,323,073.34
  5. Step 5: Solve for x
    x = 1,979,323,073.34/61,461.32
  6. Step 6: Final answer
    x = 32,204.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.