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Finding the Fourth Proportional to 41,478.64, 56,782.58 and 41,182.18

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Solution

The fourth proportional to 41,478.64, 56,782.58 and 41,182.18 is: 56,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,478.64 : 56,782.58 = 41,182.18 : x
  2. Step 2: Convert to fraction form
    41,478.64/56,782.58 = 41,182.18/x
  3. Step 3: Cross multiply
    41,478.64x = 56,782.58 × 41,182.18
  4. Step 4: Simplify right side
    41,478.64x = 2,338,430,430.42
  5. Step 5: Solve for x
    x = 2,338,430,430.42/41,478.64
  6. Step 6: Final answer
    x = 56,376.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.