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Finding the Fourth Proportional to 30,074.58, 45,114.53 and 7,887.87

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Solution

The fourth proportional to 30,074.58, 45,114.53 and 7,887.87 is: 11,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.58 : 45,114.53 = 7,887.87 : x
  2. Step 2: Convert to fraction form
    30,074.58/45,114.53 = 7,887.87/x
  3. Step 3: Cross multiply
    30,074.58x = 45,114.53 × 7,887.87
  4. Step 4: Simplify right side
    30,074.58x = 355,857,508.31
  5. Step 5: Solve for x
    x = 355,857,508.31/30,074.58
  6. Step 6: Final answer
    x = 11,832.50

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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.