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Finding the Fourth Proportional to 31,592.34, 43,597.44 and 17,446.14

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Solution

The fourth proportional to 31,592.34, 43,597.44 and 17,446.14 is: 24,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.34 : 43,597.44 = 17,446.14 : x
  2. Step 2: Convert to fraction form
    31,592.34/43,597.44 = 17,446.14/x
  3. Step 3: Cross multiply
    31,592.34x = 43,597.44 × 17,446.14
  4. Step 4: Simplify right side
    31,592.34x = 760,607,041.88
  5. Step 5: Solve for x
    x = 760,607,041.88/31,592.34
  6. Step 6: Final answer
    x = 24,075.68

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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.