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Finding the Fourth Proportional to 30,952.18, 46,434.18 and 13,182.46

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Solution

The fourth proportional to 30,952.18, 46,434.18 and 13,182.46 is: 19,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.18 : 46,434.18 = 13,182.46 : x
  2. Step 2: Convert to fraction form
    30,952.18/46,434.18 = 13,182.46/x
  3. Step 3: Cross multiply
    30,952.18x = 46,434.18 × 13,182.46
  4. Step 4: Simplify right side
    30,952.18x = 612,116,720.48
  5. Step 5: Solve for x
    x = 612,116,720.48/30,952.18
  6. Step 6: Final answer
    x = 19,776.21

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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.