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Finding the Fourth Proportional to 31,053.66, 42,852.76 and 17,624.67

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Solution

The fourth proportional to 31,053.66, 42,852.76 and 17,624.67 is: 24,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.66 : 42,852.76 = 17,624.67 : x
  2. Step 2: Convert to fraction form
    31,053.66/42,852.76 = 17,624.67/x
  3. Step 3: Cross multiply
    31,053.66x = 42,852.76 × 17,624.67
  4. Step 4: Simplify right side
    31,053.66x = 755,265,548.83
  5. Step 5: Solve for x
    x = 755,265,548.83/31,053.66
  6. Step 6: Final answer
    x = 24,321.31

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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.