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Finding the Fourth Proportional to 31,643.16, 43,657.70 and 21,034.59

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Solution

The fourth proportional to 31,643.16, 43,657.70 and 21,034.59 is: 29,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.16 : 43,657.70 = 21,034.59 : x
  2. Step 2: Convert to fraction form
    31,643.16/43,657.70 = 21,034.59/x
  3. Step 3: Cross multiply
    31,643.16x = 43,657.70 × 21,034.59
  4. Step 4: Simplify right side
    31,643.16x = 918,321,714.67
  5. Step 5: Solve for x
    x = 918,321,714.67/31,643.16
  6. Step 6: Final answer
    x = 29,021.18

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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.