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Finding the Fourth Proportional to 29,643.58, 40,907.29 and 16,214.54

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Solution

The fourth proportional to 29,643.58, 40,907.29 and 16,214.54 is: 22,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.58 : 40,907.29 = 16,214.54 : x
  2. Step 2: Convert to fraction form
    29,643.58/40,907.29 = 16,214.54/x
  3. Step 3: Cross multiply
    29,643.58x = 40,907.29 × 16,214.54
  4. Step 4: Simplify right side
    29,643.58x = 663,292,685.46
  5. Step 5: Solve for x
    x = 663,292,685.46/29,643.58
  6. Step 6: Final answer
    x = 22,375.59

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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.