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Finding the Fourth Proportional to 54,978.58, 82,468.08 and 23,384.13

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Solution

The fourth proportional to 54,978.58, 82,468.08 and 23,384.13 is: 35,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.58 : 82,468.08 = 23,384.13 : x
  2. Step 2: Convert to fraction form
    54,978.58/82,468.08 = 23,384.13/x
  3. Step 3: Cross multiply
    54,978.58x = 82,468.08 × 23,384.13
  4. Step 4: Simplify right side
    54,978.58x = 1,928,444,303.57
  5. Step 5: Solve for x
    x = 1,928,444,303.57/54,978.58
  6. Step 6: Final answer
    x = 35,076.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.