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Finding the Fourth Proportional to 114,339.06, 171,508.77 and 47,742.93

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Solution

The fourth proportional to 114,339.06, 171,508.77 and 47,742.93 is: 71,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,339.06 : 171,508.77 = 47,742.93 : x
  2. Step 2: Convert to fraction form
    114,339.06/171,508.77 = 47,742.93/x
  3. Step 3: Cross multiply
    114,339.06x = 171,508.77 × 47,742.93
  4. Step 4: Simplify right side
    114,339.06x = 8,188,331,200.50
  5. Step 5: Solve for x
    x = 8,188,331,200.50/114,339.06
  6. Step 6: Final answer
    x = 71,614.47

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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.