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Finding the Fourth Proportional to 30,417.69, 45,628.17 and 9,642.81

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Solution

The fourth proportional to 30,417.69, 45,628.17 and 9,642.81 is: 14,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.69 : 45,628.17 = 9,642.81 : x
  2. Step 2: Convert to fraction form
    30,417.69/45,628.17 = 9,642.81/x
  3. Step 3: Cross multiply
    30,417.69x = 45,628.17 × 9,642.81
  4. Step 4: Simplify right side
    30,417.69x = 439,983,773.96
  5. Step 5: Solve for x
    x = 439,983,773.96/30,417.69
  6. Step 6: Final answer
    x = 14,464.73

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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.