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Finding the Fourth Proportional to 30,284.94, 45,414.45 and 10,557.66

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Solution

The fourth proportional to 30,284.94, 45,414.45 and 10,557.66 is: 15,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.94 : 45,414.45 = 10,557.66 : x
  2. Step 2: Convert to fraction form
    30,284.94/45,414.45 = 10,557.66/x
  3. Step 3: Cross multiply
    30,284.94x = 45,414.45 × 10,557.66
  4. Step 4: Simplify right side
    30,284.94x = 479,470,322.19
  5. Step 5: Solve for x
    x = 479,470,322.19/30,284.94
  6. Step 6: Final answer
    x = 15,831.97

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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.