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Finding the Fourth Proportional to 54,148.70, 74,728.51 and 30,276.99

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Solution

The fourth proportional to 54,148.70, 74,728.51 and 30,276.99 is: 41,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,148.70 : 74,728.51 = 30,276.99 : x
  2. Step 2: Convert to fraction form
    54,148.70/74,728.51 = 30,276.99/x
  3. Step 3: Cross multiply
    54,148.70x = 74,728.51 × 30,276.99
  4. Step 4: Simplify right side
    54,148.70x = 2,262,554,274.29
  5. Step 5: Solve for x
    x = 2,262,554,274.29/54,148.70
  6. Step 6: Final answer
    x = 41,784.09

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Why These Related Problems?

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