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Finding the Fourth Proportional to 101,538.12, 152,405.60 and 48,984.51

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Solution

The fourth proportional to 101,538.12, 152,405.60 and 48,984.51 is: 73,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538.12 : 152,405.60 = 48,984.51 : x
  2. Step 2: Convert to fraction form
    101,538.12/152,405.60 = 48,984.51/x
  3. Step 3: Cross multiply
    101,538.12x = 152,405.60 × 48,984.51
  4. Step 4: Simplify right side
    101,538.12x = 7,465,513,392.33
  5. Step 5: Solve for x
    x = 7,465,513,392.33/101,538.12
  6. Step 6: Final answer
    x = 73,524.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.