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Finding the Fourth Proportional to 97,873.42, 135,074.80 and 54,860.22

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Solution

The fourth proportional to 97,873.42, 135,074.80 and 54,860.22 is: 75,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,873.42 : 135,074.80 = 54,860.22 : x
  2. Step 2: Convert to fraction form
    97,873.42/135,074.80 = 54,860.22/x
  3. Step 3: Cross multiply
    97,873.42x = 135,074.80 × 54,860.22
  4. Step 4: Simplify right side
    97,873.42x = 7,410,233,390.18
  5. Step 5: Solve for x
    x = 7,410,233,390.18/97,873.42
  6. Step 6: Final answer
    x = 75,712.42

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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.