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Finding the Fourth Proportional to 116,570.80, 174,856.47 and 49,967.74

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Solution

The fourth proportional to 116,570.80, 174,856.47 and 49,967.74 is: 74,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,570.80 : 174,856.47 = 49,967.74 : x
  2. Step 2: Convert to fraction form
    116,570.80/174,856.47 = 49,967.74/x
  3. Step 3: Cross multiply
    116,570.80x = 174,856.47 × 49,967.74
  4. Step 4: Simplify right side
    116,570.80x = 8,737,182,630.28
  5. Step 5: Solve for x
    x = 8,737,182,630.28/116,570.80
  6. Step 6: Final answer
    x = 74,951.73

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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.