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Finding the Fourth Proportional to 53,471.53, 73,789.95 and 29,597.95

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Solution

The fourth proportional to 53,471.53, 73,789.95 and 29,597.95 is: 40,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.53 : 73,789.95 = 29,597.95 : x
  2. Step 2: Convert to fraction form
    53,471.53/73,789.95 = 29,597.95/x
  3. Step 3: Cross multiply
    53,471.53x = 73,789.95 × 29,597.95
  4. Step 4: Simplify right side
    53,471.53x = 2,184,031,250.60
  5. Step 5: Solve for x
    x = 2,184,031,250.60/53,471.53
  6. Step 6: Final answer
    x = 40,844.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.