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Finding the Fourth Proportional to 30,284.86, 45,434.47 and 9,508.36

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Solution

The fourth proportional to 30,284.86, 45,434.47 and 9,508.36 is: 14,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.86 : 45,434.47 = 9,508.36 : x
  2. Step 2: Convert to fraction form
    30,284.86/45,434.47 = 9,508.36/x
  3. Step 3: Cross multiply
    30,284.86x = 45,434.47 × 9,508.36
  4. Step 4: Simplify right side
    30,284.86x = 432,007,297.17
  5. Step 5: Solve for x
    x = 432,007,297.17/30,284.86
  6. Step 6: Final answer
    x = 14,264.79

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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.