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Finding the Fourth Proportional to 29,281.76, 40,407.94 and 16,534.76

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Solution

The fourth proportional to 29,281.76, 40,407.94 and 16,534.76 is: 22,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,281.76 : 40,407.94 = 16,534.76 : x
  2. Step 2: Convert to fraction form
    29,281.76/40,407.94 = 16,534.76/x
  3. Step 3: Cross multiply
    29,281.76x = 40,407.94 × 16,534.76
  4. Step 4: Simplify right side
    29,281.76x = 668,135,589.99
  5. Step 5: Solve for x
    x = 668,135,589.99/29,281.76
  6. Step 6: Final answer
    x = 22,817.47

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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.