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Finding the Fourth Proportional to 30,494.12, 45,742.80 and 9,716

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Solution

The fourth proportional to 30,494.12, 45,742.80 and 9,716 is: 14,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.12 : 45,742.80 = 9,716 : x
  2. Step 2: Convert to fraction form
    30,494.12/45,742.80 = 9,716/x
  3. Step 3: Cross multiply
    30,494.12x = 45,742.80 × 9,716
  4. Step 4: Simplify right side
    30,494.12x = 444,437,044.80
  5. Step 5: Solve for x
    x = 444,437,044.80/30,494.12
  6. Step 6: Final answer
    x = 14,574.52

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