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Finding the Fourth Proportional to 75,421.87, 113,157.38 and 35,973.85

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Solution

The fourth proportional to 75,421.87, 113,157.38 and 35,973.85 is: 53,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421.87 : 113,157.38 = 35,973.85 : x
  2. Step 2: Convert to fraction form
    75,421.87/113,157.38 = 35,973.85/x
  3. Step 3: Cross multiply
    75,421.87x = 113,157.38 × 35,973.85
  4. Step 4: Simplify right side
    75,421.87x = 4,070,706,614.51
  5. Step 5: Solve for x
    x = 4,070,706,614.51/75,421.87
  6. Step 6: Final answer
    x = 53,972.50

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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.