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Finding the Fourth Proportional to 57,283.65, 85,904.95 and 19,833.66

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Solution

The fourth proportional to 57,283.65, 85,904.95 and 19,833.66 is: 29,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.65 : 85,904.95 = 19,833.66 : x
  2. Step 2: Convert to fraction form
    57,283.65/85,904.95 = 19,833.66/x
  3. Step 3: Cross multiply
    57,283.65x = 85,904.95 × 19,833.66
  4. Step 4: Simplify right side
    57,283.65x = 1,703,809,570.62
  5. Step 5: Solve for x
    x = 1,703,809,570.62/57,283.65
  6. Step 6: Final answer
    x = 29,743.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.