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Finding the Fourth Proportional to 30,710.96, 46,091.52 and 15,924.32

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Solution

The fourth proportional to 30,710.96, 46,091.52 and 15,924.32 is: 23,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.96 : 46,091.52 = 15,924.32 : x
  2. Step 2: Convert to fraction form
    30,710.96/46,091.52 = 15,924.32/x
  3. Step 3: Cross multiply
    30,710.96x = 46,091.52 × 15,924.32
  4. Step 4: Simplify right side
    30,710.96x = 733,976,113.77
  5. Step 5: Solve for x
    x = 733,976,113.77/30,710.96
  6. Step 6: Final answer
    x = 23,899.48

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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.