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Finding the Fourth Proportional to 29,594.38, 40,838.68 and 16,165.44

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Solution

The fourth proportional to 29,594.38, 40,838.68 and 16,165.44 is: 22,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.38 : 40,838.68 = 16,165.44 : x
  2. Step 2: Convert to fraction form
    29,594.38/40,838.68 = 16,165.44/x
  3. Step 3: Cross multiply
    29,594.38x = 40,838.68 × 16,165.44
  4. Step 4: Simplify right side
    29,594.38x = 660,175,271.63
  5. Step 5: Solve for x
    x = 660,175,271.63/29,594.38
  6. Step 6: Final answer
    x = 22,307.45

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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.