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Finding the Fourth Proportional to 116,377.50, 174,576.38 and 32,137.77

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Solution

The fourth proportional to 116,377.50, 174,576.38 and 32,137.77 is: 48,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,377.50 : 174,576.38 = 32,137.77 : x
  2. Step 2: Convert to fraction form
    116,377.50/174,576.38 = 32,137.77/x
  3. Step 3: Cross multiply
    116,377.50x = 174,576.38 × 32,137.77
  4. Step 4: Simplify right side
    116,377.50x = 5,610,495,387.18
  5. Step 5: Solve for x
    x = 5,610,495,387.18/116,377.50
  6. Step 6: Final answer
    x = 48,209.45

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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.