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Finding the Fourth Proportional to 30,706.22, 46,047.99 and 24,145.22

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Solution

The fourth proportional to 30,706.22, 46,047.99 and 24,145.22 is: 36,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.22 : 46,047.99 = 24,145.22 : x
  2. Step 2: Convert to fraction form
    30,706.22/46,047.99 = 24,145.22/x
  3. Step 3: Cross multiply
    30,706.22x = 46,047.99 × 24,145.22
  4. Step 4: Simplify right side
    30,706.22x = 1,111,838,849.11
  5. Step 5: Solve for x
    x = 1,111,838,849.11/30,706.22
  6. Step 6: Final answer
    x = 36,208.91

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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.