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Finding the Fourth Proportional to 53,295.66, 79,959.78 and 31,972.01

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Solution

The fourth proportional to 53,295.66, 79,959.78 and 31,972.01 is: 47,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,295.66 : 79,959.78 = 31,972.01 : x
  2. Step 2: Convert to fraction form
    53,295.66/79,959.78 = 31,972.01/x
  3. Step 3: Cross multiply
    53,295.66x = 79,959.78 × 31,972.01
  4. Step 4: Simplify right side
    53,295.66x = 2,556,474,485.96
  5. Step 5: Solve for x
    x = 2,556,474,485.96/53,295.66
  6. Step 6: Final answer
    x = 47,967.78

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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.