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Finding the Fourth Proportional to 30,706.54, 46,060.35 and 10,999.24

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Solution

The fourth proportional to 30,706.54, 46,060.35 and 10,999.24 is: 16,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.54 : 46,060.35 = 10,999.24 : x
  2. Step 2: Convert to fraction form
    30,706.54/46,060.35 = 10,999.24/x
  3. Step 3: Cross multiply
    30,706.54x = 46,060.35 × 10,999.24
  4. Step 4: Simplify right side
    30,706.54x = 506,628,844.13
  5. Step 5: Solve for x
    x = 506,628,844.13/30,706.54
  6. Step 6: Final answer
    x = 16,499.05

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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.