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Finding the Fourth Proportional to 31,573.58, 43,570.88 and 17,233.69

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Solution

The fourth proportional to 31,573.58, 43,570.88 and 17,233.69 is: 23,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.58 : 43,570.88 = 17,233.69 : x
  2. Step 2: Convert to fraction form
    31,573.58/43,570.88 = 17,233.69/x
  3. Step 3: Cross multiply
    31,573.58x = 43,570.88 × 17,233.69
  4. Step 4: Simplify right side
    31,573.58x = 750,887,038.95
  5. Step 5: Solve for x
    x = 750,887,038.95/31,573.58
  6. Step 6: Final answer
    x = 23,782.14

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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.