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Finding the Fourth Proportional to 76,140.48, 114,125.76 and 31,752.48

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Solution

The fourth proportional to 76,140.48, 114,125.76 and 31,752.48 is: 47,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140.48 : 114,125.76 = 31,752.48 : x
  2. Step 2: Convert to fraction form
    76,140.48/114,125.76 = 31,752.48/x
  3. Step 3: Cross multiply
    76,140.48x = 114,125.76 × 31,752.48
  4. Step 4: Simplify right side
    76,140.48x = 3,623,775,911.88
  5. Step 5: Solve for x
    x = 3,623,775,911.88/76,140.48
  6. Step 6: Final answer
    x = 47,593.29

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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.