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Finding the Fourth Proportional to 116,543.08, 174,814.72 and 49,940

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Solution

The fourth proportional to 116,543.08, 174,814.72 and 49,940 is: 74,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,543.08 : 174,814.72 = 49,940 : x
  2. Step 2: Convert to fraction form
    116,543.08/174,814.72 = 49,940/x
  3. Step 3: Cross multiply
    116,543.08x = 174,814.72 × 49,940
  4. Step 4: Simplify right side
    116,543.08x = 8,730,247,116.80
  5. Step 5: Solve for x
    x = 8,730,247,116.80/116,543.08
  6. Step 6: Final answer
    x = 74,910.04

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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.