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Finding the Fourth Proportional to 52,412.49, 72,319.37 and 30,909

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Solution

The fourth proportional to 52,412.49, 72,319.37 and 30,909 is: 42,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.49 : 72,319.37 = 30,909 : x
  2. Step 2: Convert to fraction form
    52,412.49/72,319.37 = 30,909/x
  3. Step 3: Cross multiply
    52,412.49x = 72,319.37 × 30,909
  4. Step 4: Simplify right side
    52,412.49x = 2,235,319,252.79
  5. Step 5: Solve for x
    x = 2,235,319,252.79/52,412.49
  6. Step 6: Final answer
    x = 42,648.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.