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Finding the Fourth Proportional to 30,052.13, 45,078.80 and 9,275.63

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Solution

The fourth proportional to 30,052.13, 45,078.80 and 9,275.63 is: 13,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052.13 : 45,078.80 = 9,275.63 : x
  2. Step 2: Convert to fraction form
    30,052.13/45,078.80 = 9,275.63/x
  3. Step 3: Cross multiply
    30,052.13x = 45,078.80 × 9,275.63
  4. Step 4: Simplify right side
    30,052.13x = 418,133,997.87
  5. Step 5: Solve for x
    x = 418,133,997.87/30,052.13
  6. Step 6: Final answer
    x = 13,913.63

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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.