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Finding the Fourth Proportional to 30,838.80, 46,279.80 and 19,772.40

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Solution

The fourth proportional to 30,838.80, 46,279.80 and 19,772.40 is: 29,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.80 : 46,279.80 = 19,772.40 : x
  2. Step 2: Convert to fraction form
    30,838.80/46,279.80 = 19,772.40/x
  3. Step 3: Cross multiply
    30,838.80x = 46,279.80 × 19,772.40
  4. Step 4: Simplify right side
    30,838.80x = 915,062,717.52
  5. Step 5: Solve for x
    x = 915,062,717.52/30,838.80
  6. Step 6: Final answer
    x = 29,672.45

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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.