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Finding the Fourth Proportional to 31,605.66, 43,615.53 and 17,458.47

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Solution

The fourth proportional to 31,605.66, 43,615.53 and 17,458.47 is: 24,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.66 : 43,615.53 = 17,458.47 : x
  2. Step 2: Convert to fraction form
    31,605.66/43,615.53 = 17,458.47/x
  3. Step 3: Cross multiply
    31,605.66x = 43,615.53 × 17,458.47
  4. Step 4: Simplify right side
    31,605.66x = 761,460,422.04
  5. Step 5: Solve for x
    x = 761,460,422.04/31,605.66
  6. Step 6: Final answer
    x = 24,092.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.