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Finding the Fourth Proportional to 54,984, 82,490.08 and 18,048.32

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Solution

The fourth proportional to 54,984, 82,490.08 and 18,048.32 is: 27,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,984 : 82,490.08 = 18,048.32 : x
  2. Step 2: Convert to fraction form
    54,984/82,490.08 = 18,048.32/x
  3. Step 3: Cross multiply
    54,984x = 82,490.08 × 18,048.32
  4. Step 4: Simplify right side
    54,984x = 1,488,807,360.67
  5. Step 5: Solve for x
    x = 1,488,807,360.67/54,984
  6. Step 6: Final answer
    x = 27,077.10

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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.