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Finding the Fourth Proportional to 56,425.50, 77,867.64 and 31,275

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Solution

The fourth proportional to 56,425.50, 77,867.64 and 31,275 is: 43,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,425.50 : 77,867.64 = 31,275 : x
  2. Step 2: Convert to fraction form
    56,425.50/77,867.64 = 31,275/x
  3. Step 3: Cross multiply
    56,425.50x = 77,867.64 × 31,275
  4. Step 4: Simplify right side
    56,425.50x = 2,435,310,441
  5. Step 5: Solve for x
    x = 2,435,310,441/56,425.50
  6. Step 6: Final answer
    x = 43,159.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.