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Finding the Fourth Proportional to 31,113, 42,934.74 and 16,965.54

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Solution

The fourth proportional to 31,113, 42,934.74 and 16,965.54 is: 23,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113 : 42,934.74 = 16,965.54 : x
  2. Step 2: Convert to fraction form
    31,113/42,934.74 = 16,965.54/x
  3. Step 3: Cross multiply
    31,113x = 42,934.74 × 16,965.54
  4. Step 4: Simplify right side
    31,113x = 728,411,048.86
  5. Step 5: Solve for x
    x = 728,411,048.86/31,113
  6. Step 6: Final answer
    x = 23,411.79

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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.