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Finding the Fourth Proportional to 30,480.71, 45,688.25 and 19,917.50

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Solution

The fourth proportional to 30,480.71, 45,688.25 and 19,917.50 is: 29,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480.71 : 45,688.25 = 19,917.50 : x
  2. Step 2: Convert to fraction form
    30,480.71/45,688.25 = 19,917.50/x
  3. Step 3: Cross multiply
    30,480.71x = 45,688.25 × 19,917.50
  4. Step 4: Simplify right side
    30,480.71x = 909,995,540.73
  5. Step 5: Solve for x
    x = 909,995,540.73/30,480.71
  6. Step 6: Final answer
    x = 29,854.81

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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.