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Finding the Fourth Proportional to 30,534.74, 45,802.21 and 10,813.87

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Solution

The fourth proportional to 30,534.74, 45,802.21 and 10,813.87 is: 16,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.74 : 45,802.21 = 10,813.87 : x
  2. Step 2: Convert to fraction form
    30,534.74/45,802.21 = 10,813.87/x
  3. Step 3: Cross multiply
    30,534.74x = 45,802.21 × 10,813.87
  4. Step 4: Simplify right side
    30,534.74x = 495,299,117.62
  5. Step 5: Solve for x
    x = 495,299,117.62/30,534.74
  6. Step 6: Final answer
    x = 16,220.84

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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.