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Finding the Fourth Proportional to 32,427, 48,577.56 and 21,299.93

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Solution

The fourth proportional to 32,427, 48,577.56 and 21,299.93 is: 31,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427 : 48,577.56 = 21,299.93 : x
  2. Step 2: Convert to fraction form
    32,427/48,577.56 = 21,299.93/x
  3. Step 3: Cross multiply
    32,427x = 48,577.56 × 21,299.93
  4. Step 4: Simplify right side
    32,427x = 1,034,698,384.68
  5. Step 5: Solve for x
    x = 1,034,698,384.68/32,427
  6. Step 6: Final answer
    x = 31,908.54

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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.