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Finding the Fourth Proportional to 92,742.30, 139,123.17 and 30,398.22

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Solution

The fourth proportional to 92,742.30, 139,123.17 and 30,398.22 is: 45,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,742.30 : 139,123.17 = 30,398.22 : x
  2. Step 2: Convert to fraction form
    92,742.30/139,123.17 = 30,398.22/x
  3. Step 3: Cross multiply
    92,742.30x = 139,123.17 × 30,398.22
  4. Step 4: Simplify right side
    92,742.30x = 4,229,096,728.76
  5. Step 5: Solve for x
    x = 4,229,096,728.76/92,742.30
  6. Step 6: Final answer
    x = 45,600.52

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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.