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Finding the Fourth Proportional to 30,830.80, 46,246.20 and 13,288.40

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Solution

The fourth proportional to 30,830.80, 46,246.20 and 13,288.40 is: 19,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.80 : 46,246.20 = 13,288.40 : x
  2. Step 2: Convert to fraction form
    30,830.80/46,246.20 = 13,288.40/x
  3. Step 3: Cross multiply
    30,830.80x = 46,246.20 × 13,288.40
  4. Step 4: Simplify right side
    30,830.80x = 614,538,004.08
  5. Step 5: Solve for x
    x = 614,538,004.08/30,830.80
  6. Step 6: Final answer
    x = 19,932.60

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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.