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Finding the Fourth Proportional to 75,417.32, 113,023.92 and 28,644.68

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Solution

The fourth proportional to 75,417.32, 113,023.92 and 28,644.68 is: 42,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,417.32 : 113,023.92 = 28,644.68 : x
  2. Step 2: Convert to fraction form
    75,417.32/113,023.92 = 28,644.68/x
  3. Step 3: Cross multiply
    75,417.32x = 113,023.92 × 28,644.68
  4. Step 4: Simplify right side
    75,417.32x = 3,237,534,410.72
  5. Step 5: Solve for x
    x = 3,237,534,410.72/75,417.32
  6. Step 6: Final answer
    x = 42,928.26

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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.