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Finding the Fourth Proportional to 30,913.90, 46,370.36 and 9,853.66

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Solution

The fourth proportional to 30,913.90, 46,370.36 and 9,853.66 is: 14,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.90 : 46,370.36 = 9,853.66 : x
  2. Step 2: Convert to fraction form
    30,913.90/46,370.36 = 9,853.66/x
  3. Step 3: Cross multiply
    30,913.90x = 46,370.36 × 9,853.66
  4. Step 4: Simplify right side
    30,913.90x = 456,917,761.52
  5. Step 5: Solve for x
    x = 456,917,761.52/30,913.90
  6. Step 6: Final answer
    x = 14,780.33

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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.