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Finding the Fourth Proportional to 57,475.51, 86,205.97 and 42,705.97

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Solution

The fourth proportional to 57,475.51, 86,205.97 and 42,705.97 is: 64,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,475.51 : 86,205.97 = 42,705.97 : x
  2. Step 2: Convert to fraction form
    57,475.51/86,205.97 = 42,705.97/x
  3. Step 3: Cross multiply
    57,475.51x = 86,205.97 × 42,705.97
  4. Step 4: Simplify right side
    57,475.51x = 3,681,509,406.51
  5. Step 5: Solve for x
    x = 3,681,509,406.51/57,475.51
  6. Step 6: Final answer
    x = 64,053.53

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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.