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Finding the Fourth Proportional to 71,095.72, 106,649.25 and 24,349

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Solution

The fourth proportional to 71,095.72, 106,649.25 and 24,349 is: 36,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,095.72 : 106,649.25 = 24,349 : x
  2. Step 2: Convert to fraction form
    71,095.72/106,649.25 = 24,349/x
  3. Step 3: Cross multiply
    71,095.72x = 106,649.25 × 24,349
  4. Step 4: Simplify right side
    71,095.72x = 2,596,802,588.25
  5. Step 5: Solve for x
    x = 2,596,802,588.25/71,095.72
  6. Step 6: Final answer
    x = 36,525.44

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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.