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Finding the Fourth Proportional to 30,106.92, 45,157.14 and 10,383.96

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Solution

The fourth proportional to 30,106.92, 45,157.14 and 10,383.96 is: 15,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.92 : 45,157.14 = 10,383.96 : x
  2. Step 2: Convert to fraction form
    30,106.92/45,157.14 = 10,383.96/x
  3. Step 3: Cross multiply
    30,106.92x = 45,157.14 × 10,383.96
  4. Step 4: Simplify right side
    30,106.92x = 468,909,935.47
  5. Step 5: Solve for x
    x = 468,909,935.47/30,106.92
  6. Step 6: Final answer
    x = 15,574.82

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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.