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Finding the Fourth Proportional to 52,761, 72,798.54 and 32,347.44

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Solution

The fourth proportional to 52,761, 72,798.54 and 32,347.44 is: 44,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,761 : 72,798.54 = 32,347.44 : x
  2. Step 2: Convert to fraction form
    52,761/72,798.54 = 32,347.44/x
  3. Step 3: Cross multiply
    52,761x = 72,798.54 × 32,347.44
  4. Step 4: Simplify right side
    52,761x = 2,354,846,404.74
  5. Step 5: Solve for x
    x = 2,354,846,404.74/52,761
  6. Step 6: Final answer
    x = 44,632.33

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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.