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Finding the Fourth Proportional to 31,058.84, 42,859.74 and 16,911.64

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Solution

The fourth proportional to 31,058.84, 42,859.74 and 16,911.64 is: 23,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,058.84 : 42,859.74 = 16,911.64 : x
  2. Step 2: Convert to fraction form
    31,058.84/42,859.74 = 16,911.64/x
  3. Step 3: Cross multiply
    31,058.84x = 42,859.74 × 16,911.64
  4. Step 4: Simplify right side
    31,058.84x = 724,828,493.37
  5. Step 5: Solve for x
    x = 724,828,493.37/31,058.84
  6. Step 6: Final answer
    x = 23,337.27

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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.