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Finding the Fourth Proportional to 31,597.90, 43,602.90 and 17,449.62

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Solution

The fourth proportional to 31,597.90, 43,602.90 and 17,449.62 is: 24,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.90 : 43,602.90 = 17,449.62 : x
  2. Step 2: Convert to fraction form
    31,597.90/43,602.90 = 17,449.62/x
  3. Step 3: Cross multiply
    31,597.90x = 43,602.90 × 17,449.62
  4. Step 4: Simplify right side
    31,597.90x = 760,854,035.90
  5. Step 5: Solve for x
    x = 760,854,035.90/31,597.90
  6. Step 6: Final answer
    x = 24,079.26

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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.