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Finding the Fourth Proportional to 34,111.95, 47,047.32 and 24,550.31

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Solution

The fourth proportional to 34,111.95, 47,047.32 and 24,550.31 is: 33,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111.95 : 47,047.32 = 24,550.31 : x
  2. Step 2: Convert to fraction form
    34,111.95/47,047.32 = 24,550.31/x
  3. Step 3: Cross multiply
    34,111.95x = 47,047.32 × 24,550.31
  4. Step 4: Simplify right side
    34,111.95x = 1,155,026,055.43
  5. Step 5: Solve for x
    x = 1,155,026,055.43/34,111.95
  6. Step 6: Final answer
    x = 33,859.87

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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.