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Finding the Fourth Proportional to 46,198.88, 63,754.48 and 24,978.32

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Solution

The fourth proportional to 46,198.88, 63,754.48 and 24,978.32 is: 34,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,198.88 : 63,754.48 = 24,978.32 : x
  2. Step 2: Convert to fraction form
    46,198.88/63,754.48 = 24,978.32/x
  3. Step 3: Cross multiply
    46,198.88x = 63,754.48 × 24,978.32
  4. Step 4: Simplify right side
    46,198.88x = 1,592,479,802.87
  5. Step 5: Solve for x
    x = 1,592,479,802.87/46,198.88
  6. Step 6: Final answer
    x = 34,470.10

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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.