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Finding the Fourth Proportional to 37,880.83, 56,821.22 and 10,178.83

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Solution

The fourth proportional to 37,880.83, 56,821.22 and 10,178.83 is: 15,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.83 : 56,821.22 = 10,178.83 : x
  2. Step 2: Convert to fraction form
    37,880.83/56,821.22 = 10,178.83/x
  3. Step 3: Cross multiply
    37,880.83x = 56,821.22 × 10,178.83
  4. Step 4: Simplify right side
    37,880.83x = 578,373,487.88
  5. Step 5: Solve for x
    x = 578,373,487.88/37,880.83
  6. Step 6: Final answer
    x = 15,268.24

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1.5x scale

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.