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Finding the Fourth Proportional to 101,771.22, 152,598.42 and 38,551.02

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Solution

The fourth proportional to 101,771.22, 152,598.42 and 38,551.02 is: 57,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,771.22 : 152,598.42 = 38,551.02 : x
  2. Step 2: Convert to fraction form
    101,771.22/152,598.42 = 38,551.02/x
  3. Step 3: Cross multiply
    101,771.22x = 152,598.42 × 38,551.02
  4. Step 4: Simplify right side
    101,771.22x = 5,882,824,741.39
  5. Step 5: Solve for x
    x = 5,882,824,741.39/101,771.22
  6. Step 6: Final answer
    x = 57,804.40

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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.