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Finding the Fourth Proportional to 93,820.34, 140,718.90 and 34,654.70

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Solution

The fourth proportional to 93,820.34, 140,718.90 and 34,654.70 is: 51,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,820.34 : 140,718.90 = 34,654.70 : x
  2. Step 2: Convert to fraction form
    93,820.34/140,718.90 = 34,654.70/x
  3. Step 3: Cross multiply
    93,820.34x = 140,718.90 × 34,654.70
  4. Step 4: Simplify right side
    93,820.34x = 4,876,571,263.83
  5. Step 5: Solve for x
    x = 4,876,571,263.83/93,820.34
  6. Step 6: Final answer
    x = 51,977.76

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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.