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Finding the Fourth Proportional to 75,537.12, 113,303.12 and 28,788.32

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Solution

The fourth proportional to 75,537.12, 113,303.12 and 28,788.32 is: 43,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537.12 : 113,303.12 = 28,788.32 : x
  2. Step 2: Convert to fraction form
    75,537.12/113,303.12 = 28,788.32/x
  3. Step 3: Cross multiply
    75,537.12x = 113,303.12 × 28,788.32
  4. Step 4: Simplify right side
    75,537.12x = 3,261,806,475.56
  5. Step 5: Solve for x
    x = 3,261,806,475.56/75,537.12
  6. Step 6: Final answer
    x = 43,181.50

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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.