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Finding the Fourth Proportional to 40,939, 56,495.82 and 23,275

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Solution

The fourth proportional to 40,939, 56,495.82 and 23,275 is: 32,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,939 : 56,495.82 = 23,275 : x
  2. Step 2: Convert to fraction form
    40,939/56,495.82 = 23,275/x
  3. Step 3: Cross multiply
    40,939x = 56,495.82 × 23,275
  4. Step 4: Simplify right side
    40,939x = 1,314,940,210.50
  5. Step 5: Solve for x
    x = 1,314,940,210.50/40,939
  6. Step 6: Final answer
    x = 32,119.50

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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.