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Finding the Fourth Proportional to 29,978.32, 44,963.64 and 9,200.08

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Solution

The fourth proportional to 29,978.32, 44,963.64 and 9,200.08 is: 13,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.32 : 44,963.64 = 9,200.08 : x
  2. Step 2: Convert to fraction form
    29,978.32/44,963.64 = 9,200.08/x
  3. Step 3: Cross multiply
    29,978.32x = 44,963.64 × 9,200.08
  4. Step 4: Simplify right side
    29,978.32x = 413,669,085.09
  5. Step 5: Solve for x
    x = 413,669,085.09/29,978.32
  6. Step 6: Final answer
    x = 13,798.94

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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.