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Finding the Fourth Proportional to 31,130.20, 42,958 and 17,699.60

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Solution

The fourth proportional to 31,130.20, 42,958 and 17,699.60 is: 24,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.20 : 42,958 = 17,699.60 : x
  2. Step 2: Convert to fraction form
    31,130.20/42,958 = 17,699.60/x
  3. Step 3: Cross multiply
    31,130.20x = 42,958 × 17,699.60
  4. Step 4: Simplify right side
    31,130.20x = 760,339,416.80
  5. Step 5: Solve for x
    x = 760,339,416.80/31,130.20
  6. Step 6: Final answer
    x = 24,424.50

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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.