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Finding the Fourth Proportional to 94,652.96, 142,066.90 and 47,938.64

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Solution

The fourth proportional to 94,652.96, 142,066.90 and 47,938.64 is: 71,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,652.96 : 142,066.90 = 47,938.64 : x
  2. Step 2: Convert to fraction form
    94,652.96/142,066.90 = 47,938.64/x
  3. Step 3: Cross multiply
    94,652.96x = 142,066.90 × 47,938.64
  4. Step 4: Simplify right side
    94,652.96x = 6,810,493,975.02
  5. Step 5: Solve for x
    x = 6,810,493,975.02/94,652.96
  6. Step 6: Final answer
    x = 71,952.26

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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.