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Finding the Fourth Proportional to 54,309.07, 74,948.66 and 30,435.54

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Solution

The fourth proportional to 54,309.07, 74,948.66 and 30,435.54 is: 42,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,309.07 : 74,948.66 = 30,435.54 : x
  2. Step 2: Convert to fraction form
    54,309.07/74,948.66 = 30,435.54/x
  3. Step 3: Cross multiply
    54,309.07x = 74,948.66 × 30,435.54
  4. Step 4: Simplify right side
    54,309.07x = 2,281,102,939.38
  5. Step 5: Solve for x
    x = 2,281,102,939.38/54,309.07
  6. Step 6: Final answer
    x = 42,002.25

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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.