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Finding the Fourth Proportional to 30,952.80, 46,436.16 and 13,425.36

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Solution

The fourth proportional to 30,952.80, 46,436.16 and 13,425.36 is: 20,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.80 : 46,436.16 = 13,425.36 : x
  2. Step 2: Convert to fraction form
    30,952.80/46,436.16 = 13,425.36/x
  3. Step 3: Cross multiply
    30,952.80x = 46,436.16 × 13,425.36
  4. Step 4: Simplify right side
    30,952.80x = 623,422,165.02
  5. Step 5: Solve for x
    x = 623,422,165.02/30,952.80
  6. Step 6: Final answer
    x = 20,141.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.