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Finding the Fourth Proportional to 57,383.94, 86,071.05 and 19,934.40

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Solution

The fourth proportional to 57,383.94, 86,071.05 and 19,934.40 is: 29,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,383.94 : 86,071.05 = 19,934.40 : x
  2. Step 2: Convert to fraction form
    57,383.94/86,071.05 = 19,934.40/x
  3. Step 3: Cross multiply
    57,383.94x = 86,071.05 × 19,934.40
  4. Step 4: Simplify right side
    57,383.94x = 1,715,774,739.12
  5. Step 5: Solve for x
    x = 1,715,774,739.12/57,383.94
  6. Step 6: Final answer
    x = 29,899.91

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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.