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Finding the Fourth Proportional to 29,597, 40,843.64 and 16,168.28

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Solution

The fourth proportional to 29,597, 40,843.64 and 16,168.28 is: 22,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597 : 40,843.64 = 16,168.28 : x
  2. Step 2: Convert to fraction form
    29,597/40,843.64 = 16,168.28/x
  3. Step 3: Cross multiply
    29,597x = 40,843.64 × 16,168.28
  4. Step 4: Simplify right side
    29,597x = 660,371,407.74
  5. Step 5: Solve for x
    x = 660,371,407.74/29,597
  6. Step 6: Final answer
    x = 22,312.11

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1.5x scale

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.