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Finding the Fourth Proportional to 30,384, 45,523.70 and 27,302.40

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Solution

The fourth proportional to 30,384, 45,523.70 and 27,302.40 is: 40,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384 : 45,523.70 = 27,302.40 : x
  2. Step 2: Convert to fraction form
    30,384/45,523.70 = 27,302.40/x
  3. Step 3: Cross multiply
    30,384x = 45,523.70 × 27,302.40
  4. Step 4: Simplify right side
    30,384x = 1,242,906,130.37
  5. Step 5: Solve for x
    x = 1,242,906,130.37/30,384
  6. Step 6: Final answer
    x = 40,906.60

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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.