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Finding the Fourth Proportional to 30,613.42, 45,902.88 and 10,613.53

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Solution

The fourth proportional to 30,613.42, 45,902.88 and 10,613.53 is: 15,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.42 : 45,902.88 = 10,613.53 : x
  2. Step 2: Convert to fraction form
    30,613.42/45,902.88 = 10,613.53/x
  3. Step 3: Cross multiply
    30,613.42x = 45,902.88 × 10,613.53
  4. Step 4: Simplify right side
    30,613.42x = 487,191,593.97
  5. Step 5: Solve for x
    x = 487,191,593.97/30,613.42
  6. Step 6: Final answer
    x = 15,914.31

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