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Finding the Fourth Proportional to 40,199.93, 55,477.38 and 24,281.30

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Solution

The fourth proportional to 40,199.93, 55,477.38 and 24,281.30 is: 33,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,199.93 : 55,477.38 = 24,281.30 : x
  2. Step 2: Convert to fraction form
    40,199.93/55,477.38 = 24,281.30/x
  3. Step 3: Cross multiply
    40,199.93x = 55,477.38 × 24,281.30
  4. Step 4: Simplify right side
    40,199.93x = 1,347,062,629.61
  5. Step 5: Solve for x
    x = 1,347,062,629.61/40,199.93
  6. Step 6: Final answer
    x = 33,509.08

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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.