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Finding the Fourth Proportional to 29,578.64, 40,822.38 and 19,528.16

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Solution

The fourth proportional to 29,578.64, 40,822.38 and 19,528.16 is: 26,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.64 : 40,822.38 = 19,528.16 : x
  2. Step 2: Convert to fraction form
    29,578.64/40,822.38 = 19,528.16/x
  3. Step 3: Cross multiply
    29,578.64x = 40,822.38 × 19,528.16
  4. Step 4: Simplify right side
    29,578.64x = 797,185,764.11
  5. Step 5: Solve for x
    x = 797,185,764.11/29,578.64
  6. Step 6: Final answer
    x = 26,951.40

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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.