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Finding the Fourth Proportional to 31,124.49, 42,951.81 and 17,695.41

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Solution

The fourth proportional to 31,124.49, 42,951.81 and 17,695.41 is: 24,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.49 : 42,951.81 = 17,695.41 : x
  2. Step 2: Convert to fraction form
    31,124.49/42,951.81 = 17,695.41/x
  3. Step 3: Cross multiply
    31,124.49x = 42,951.81 × 17,695.41
  4. Step 4: Simplify right side
    31,124.49x = 760,049,888.19
  5. Step 5: Solve for x
    x = 760,049,888.19/31,124.49
  6. Step 6: Final answer
    x = 24,419.67

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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.