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Finding the Fourth Proportional to 73,006.16, 109,522.75 and 23,098.82

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Solution

The fourth proportional to 73,006.16, 109,522.75 and 23,098.82 is: 34,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006.16 : 109,522.75 = 23,098.82 : x
  2. Step 2: Convert to fraction form
    73,006.16/109,522.75 = 23,098.82/x
  3. Step 3: Cross multiply
    73,006.16x = 109,522.75 × 23,098.82
  4. Step 4: Simplify right side
    73,006.16x = 2,529,845,682.79
  5. Step 5: Solve for x
    x = 2,529,845,682.79/73,006.16
  6. Step 6: Final answer
    x = 34,652.50

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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.