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Finding the Fourth Proportional to 38,752.48, 53,129 and 38,052.64

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Solution

The fourth proportional to 38,752.48, 53,129 and 38,052.64 is: 52,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,752.48 : 53,129 = 38,052.64 : x
  2. Step 2: Convert to fraction form
    38,752.48/53,129 = 38,052.64/x
  3. Step 3: Cross multiply
    38,752.48x = 53,129 × 38,052.64
  4. Step 4: Simplify right side
    38,752.48x = 2,021,698,710.56
  5. Step 5: Solve for x
    x = 2,021,698,710.56/38,752.48
  6. Step 6: Final answer
    x = 52,169.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.