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Finding the Fourth Proportional to 97,778.52, 134,923.21 and 54,752.03

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Solution

The fourth proportional to 97,778.52, 134,923.21 and 54,752.03 is: 75,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,778.52 : 134,923.21 = 54,752.03 : x
  2. Step 2: Convert to fraction form
    97,778.52/134,923.21 = 54,752.03/x
  3. Step 3: Cross multiply
    97,778.52x = 134,923.21 × 54,752.03
  4. Step 4: Simplify right side
    97,778.52x = 7,387,319,448.82
  5. Step 5: Solve for x
    x = 7,387,319,448.82/97,778.52
  6. Step 6: Final answer
    x = 75,551.56

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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.