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Finding the Fourth Proportional to 37,465.50, 56,196.94 and 9,385.79

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Solution

The fourth proportional to 37,465.50, 56,196.94 and 9,385.79 is: 14,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465.50 : 56,196.94 = 9,385.79 : x
  2. Step 2: Convert to fraction form
    37,465.50/56,196.94 = 9,385.79/x
  3. Step 3: Cross multiply
    37,465.50x = 56,196.94 × 9,385.79
  4. Step 4: Simplify right side
    37,465.50x = 527,452,706.74
  5. Step 5: Solve for x
    x = 527,452,706.74/37,465.50
  6. Step 6: Final answer
    x = 14,078.36

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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.