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Finding the Fourth Proportional to 37,448, 56,188.40 and 17,740.64

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Solution

The fourth proportional to 37,448, 56,188.40 and 17,740.64 is: 26,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,448 : 56,188.40 = 17,740.64 : x
  2. Step 2: Convert to fraction form
    37,448/56,188.40 = 17,740.64/x
  3. Step 3: Cross multiply
    37,448x = 56,188.40 × 17,740.64
  4. Step 4: Simplify right side
    37,448x = 996,818,176.58
  5. Step 5: Solve for x
    x = 996,818,176.58/37,448
  6. Step 6: Final answer
    x = 26,618.73

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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.