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Finding the Fourth Proportional to 56,391.53, 77,822.90 and 32,199.05

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Solution

The fourth proportional to 56,391.53, 77,822.90 and 32,199.05 is: 44,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,391.53 : 77,822.90 = 32,199.05 : x
  2. Step 2: Convert to fraction form
    56,391.53/77,822.90 = 32,199.05/x
  3. Step 3: Cross multiply
    56,391.53x = 77,822.90 × 32,199.05
  4. Step 4: Simplify right side
    56,391.53x = 2,505,822,898.14
  5. Step 5: Solve for x
    x = 2,505,822,898.14/56,391.53
  6. Step 6: Final answer
    x = 44,436.16

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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.