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Finding the Fourth Proportional to 29,838, 41,176.44 and 16,590

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Solution

The fourth proportional to 29,838, 41,176.44 and 16,590 is: 22,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838 : 41,176.44 = 16,590 : x
  2. Step 2: Convert to fraction form
    29,838/41,176.44 = 16,590/x
  3. Step 3: Cross multiply
    29,838x = 41,176.44 × 16,590
  4. Step 4: Simplify right side
    29,838x = 683,117,139.60
  5. Step 5: Solve for x
    x = 683,117,139.60/29,838
  6. Step 6: Final answer
    x = 22,894.20

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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.