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Finding the Fourth Proportional to 54,382.46, 75,048.93 and 30,510.74

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Solution

The fourth proportional to 54,382.46, 75,048.93 and 30,510.74 is: 42,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.46 : 75,048.93 = 30,510.74 : x
  2. Step 2: Convert to fraction form
    54,382.46/75,048.93 = 30,510.74/x
  3. Step 3: Cross multiply
    54,382.46x = 75,048.93 × 30,510.74
  4. Step 4: Simplify right side
    54,382.46x = 2,289,798,578.13
  5. Step 5: Solve for x
    x = 2,289,798,578.13/54,382.46
  6. Step 6: Final answer
    x = 42,105.47

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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.