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Finding the Fourth Proportional to 31,581.46, 43,582.15 and 17,434

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Solution

The fourth proportional to 31,581.46, 43,582.15 and 17,434 is: 24,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,581.46 : 43,582.15 = 17,434 : x
  2. Step 2: Convert to fraction form
    31,581.46/43,582.15 = 17,434/x
  3. Step 3: Cross multiply
    31,581.46x = 43,582.15 × 17,434
  4. Step 4: Simplify right side
    31,581.46x = 759,811,159.52
  5. Step 5: Solve for x
    x = 759,811,159.52/31,581.46
  6. Step 6: Final answer
    x = 24,058.77

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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.