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Finding the Fourth Proportional to 30,113.64, 45,112.14 and 14,542.20

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Solution

The fourth proportional to 30,113.64, 45,112.14 and 14,542.20 is: 21,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,113.64 : 45,112.14 = 14,542.20 : x
  2. Step 2: Convert to fraction form
    30,113.64/45,112.14 = 14,542.20/x
  3. Step 3: Cross multiply
    30,113.64x = 45,112.14 × 14,542.20
  4. Step 4: Simplify right side
    30,113.64x = 656,029,762.31
  5. Step 5: Solve for x
    x = 656,029,762.31/30,113.64
  6. Step 6: Final answer
    x = 21,785.14

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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.