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Finding the Fourth Proportional to 52,522.93, 72,468.52 and 32,099.77

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Solution

The fourth proportional to 52,522.93, 72,468.52 and 32,099.77 is: 44,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.93 : 72,468.52 = 32,099.77 : x
  2. Step 2: Convert to fraction form
    52,522.93/72,468.52 = 32,099.77/x
  3. Step 3: Cross multiply
    52,522.93x = 72,468.52 × 32,099.77
  4. Step 4: Simplify right side
    52,522.93x = 2,326,222,824.24
  5. Step 5: Solve for x
    x = 2,326,222,824.24/52,522.93
  6. Step 6: Final answer
    x = 44,289.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.