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Finding the Fourth Proportional to 58,922.88, 88,381.44 and 21,984

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Solution

The fourth proportional to 58,922.88, 88,381.44 and 21,984 is: 32,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,922.88 : 88,381.44 = 21,984 : x
  2. Step 2: Convert to fraction form
    58,922.88/88,381.44 = 21,984/x
  3. Step 3: Cross multiply
    58,922.88x = 88,381.44 × 21,984
  4. Step 4: Simplify right side
    58,922.88x = 1,942,977,576.96
  5. Step 5: Solve for x
    x = 1,942,977,576.96/58,922.88
  6. Step 6: Final answer
    x = 32,974.93

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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.