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Finding the Fourth Proportional to 35,794.34, 53,706.66 and 19,150

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Solution

The fourth proportional to 35,794.34, 53,706.66 and 19,150 is: 28,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794.34 : 53,706.66 = 19,150 : x
  2. Step 2: Convert to fraction form
    35,794.34/53,706.66 = 19,150/x
  3. Step 3: Cross multiply
    35,794.34x = 53,706.66 × 19,150
  4. Step 4: Simplify right side
    35,794.34x = 1,028,482,539.00
  5. Step 5: Solve for x
    x = 1,028,482,539.00/35,794.34
  6. Step 6: Final answer
    x = 28,733.11

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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.