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Finding the Fourth Proportional to 30,144.48, 45,216.88 and 9,368

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Solution

The fourth proportional to 30,144.48, 45,216.88 and 9,368 is: 14,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.48 : 45,216.88 = 9,368 : x
  2. Step 2: Convert to fraction form
    30,144.48/45,216.88 = 9,368/x
  3. Step 3: Cross multiply
    30,144.48x = 45,216.88 × 9,368
  4. Step 4: Simplify right side
    30,144.48x = 423,591,731.84
  5. Step 5: Solve for x
    x = 423,591,731.84/30,144.48
  6. Step 6: Final answer
    x = 14,052.05

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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.