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Finding the Fourth Proportional to 31,019.20, 46,528.80 and 19,209.40

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Solution

The fourth proportional to 31,019.20, 46,528.80 and 19,209.40 is: 28,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.20 : 46,528.80 = 19,209.40 : x
  2. Step 2: Convert to fraction form
    31,019.20/46,528.80 = 19,209.40/x
  3. Step 3: Cross multiply
    31,019.20x = 46,528.80 × 19,209.40
  4. Step 4: Simplify right side
    31,019.20x = 893,790,330.72
  5. Step 5: Solve for x
    x = 893,790,330.72/31,019.20
  6. Step 6: Final answer
    x = 28,814.10

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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.