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Finding the Fourth Proportional to 31,203.70, 46,805.55 and 15,619.30

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Solution

The fourth proportional to 31,203.70, 46,805.55 and 15,619.30 is: 23,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.70 : 46,805.55 = 15,619.30 : x
  2. Step 2: Convert to fraction form
    31,203.70/46,805.55 = 15,619.30/x
  3. Step 3: Cross multiply
    31,203.70x = 46,805.55 × 15,619.30
  4. Step 4: Simplify right side
    31,203.70x = 731,069,927.12
  5. Step 5: Solve for x
    x = 731,069,927.12/31,203.70
  6. Step 6: Final answer
    x = 23,428.95

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Why These Related Problems?

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