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Finding the Fourth Proportional to 117,493.48, 176,292.38 and 47,509.48

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Solution

The fourth proportional to 117,493.48, 176,292.38 and 47,509.48 is: 71,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,493.48 : 176,292.38 = 47,509.48 : x
  2. Step 2: Convert to fraction form
    117,493.48/176,292.38 = 47,509.48/x
  3. Step 3: Cross multiply
    117,493.48x = 176,292.38 × 47,509.48
  4. Step 4: Simplify right side
    117,493.48x = 8,375,559,301.76
  5. Step 5: Solve for x
    x = 8,375,559,301.76/117,493.48
  6. Step 6: Final answer
    x = 71,285.31

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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.