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Finding the Fourth Proportional to 71,064, 106,596.54 and 24,317.28

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Solution

The fourth proportional to 71,064, 106,596.54 and 24,317.28 is: 36,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,064 : 106,596.54 = 24,317.28 : x
  2. Step 2: Convert to fraction form
    71,064/106,596.54 = 24,317.28/x
  3. Step 3: Cross multiply
    71,064x = 106,596.54 × 24,317.28
  4. Step 4: Simplify right side
    71,064x = 2,592,137,910.21
  5. Step 5: Solve for x
    x = 2,592,137,910.21/71,064
  6. Step 6: Final answer
    x = 36,476.10

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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.