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Finding the Fourth Proportional to 30,491.12, 45,742.12 and 10,781.12

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Solution

The fourth proportional to 30,491.12, 45,742.12 and 10,781.12 is: 16,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.12 : 45,742.12 = 10,781.12 : x
  2. Step 2: Convert to fraction form
    30,491.12/45,742.12 = 10,781.12/x
  3. Step 3: Cross multiply
    30,491.12x = 45,742.12 × 10,781.12
  4. Step 4: Simplify right side
    30,491.12x = 493,151,284.77
  5. Step 5: Solve for x
    x = 493,151,284.77/30,491.12
  6. Step 6: Final answer
    x = 16,173.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.