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Finding the Fourth Proportional to 45,036.54, 67,530.45 and 31,914.54

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Solution

The fourth proportional to 45,036.54, 67,530.45 and 31,914.54 is: 47,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,036.54 : 67,530.45 = 31,914.54 : x
  2. Step 2: Convert to fraction form
    45,036.54/67,530.45 = 31,914.54/x
  3. Step 3: Cross multiply
    45,036.54x = 67,530.45 × 31,914.54
  4. Step 4: Simplify right side
    45,036.54x = 2,155,203,247.74
  5. Step 5: Solve for x
    x = 2,155,203,247.74/45,036.54
  6. Step 6: Final answer
    x = 47,854.55

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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.