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Finding the Fourth Proportional to 56,742, 85,113 and 15,189

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Solution

The fourth proportional to 56,742, 85,113 and 15,189 is: 22,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742 : 85,113 = 15,189 : x
  2. Step 2: Convert to fraction form
    56,742/85,113 = 15,189/x
  3. Step 3: Cross multiply
    56,742x = 85,113 × 15,189
  4. Step 4: Simplify right side
    56,742x = 1,292,781,357
  5. Step 5: Solve for x
    x = 1,292,781,357/56,742
  6. Step 6: Final answer
    x = 22,783.50

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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.