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Finding the Fourth Proportional to 92,419.93, 138,630.21 and 22,299.25

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Solution

The fourth proportional to 92,419.93, 138,630.21 and 22,299.25 is: 33,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,419.93 : 138,630.21 = 22,299.25 : x
  2. Step 2: Convert to fraction form
    92,419.93/138,630.21 = 22,299.25/x
  3. Step 3: Cross multiply
    92,419.93x = 138,630.21 × 22,299.25
  4. Step 4: Simplify right side
    92,419.93x = 3,091,349,710.34
  5. Step 5: Solve for x
    x = 3,091,349,710.34/92,419.93
  6. Step 6: Final answer
    x = 33,448.95

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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.