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Finding the Fourth Proportional to 52,747.80, 72,779.73 and 31,226.73

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Solution

The fourth proportional to 52,747.80, 72,779.73 and 31,226.73 is: 43,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,747.80 : 72,779.73 = 31,226.73 : x
  2. Step 2: Convert to fraction form
    52,747.80/72,779.73 = 31,226.73/x
  3. Step 3: Cross multiply
    52,747.80x = 72,779.73 × 31,226.73
  4. Step 4: Simplify right side
    52,747.80x = 2,272,672,978.18
  5. Step 5: Solve for x
    x = 2,272,672,978.18/52,747.80
  6. Step 6: Final answer
    x = 43,085.64

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1.5x scale

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.