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Finding the Fourth Proportional to 93,677.40, 140,516.10 and 31,347.90

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Solution

The fourth proportional to 93,677.40, 140,516.10 and 31,347.90 is: 47,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,677.40 : 140,516.10 = 31,347.90 : x
  2. Step 2: Convert to fraction form
    93,677.40/140,516.10 = 31,347.90/x
  3. Step 3: Cross multiply
    93,677.40x = 140,516.10 × 31,347.90
  4. Step 4: Simplify right side
    93,677.40x = 4,404,884,651.19
  5. Step 5: Solve for x
    x = 4,404,884,651.19/93,677.40
  6. Step 6: Final answer
    x = 47,021.85

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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.