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Finding the Fourth Proportional to 93,542.51, 140,369.13 and 34,419.70

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Solution

The fourth proportional to 93,542.51, 140,369.13 and 34,419.70 is: 51,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,542.51 : 140,369.13 = 34,419.70 : x
  2. Step 2: Convert to fraction form
    93,542.51/140,369.13 = 34,419.70/x
  3. Step 3: Cross multiply
    93,542.51x = 140,369.13 × 34,419.70
  4. Step 4: Simplify right side
    93,542.51x = 4,831,463,171.76
  5. Step 5: Solve for x
    x = 4,831,463,171.76/93,542.51
  6. Step 6: Final answer
    x = 51,649.92

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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.