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Finding the Fourth Proportional to 30,417.42, 45,628.83 and 10,696.14

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Solution

The fourth proportional to 30,417.42, 45,628.83 and 10,696.14 is: 16,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.42 : 45,628.83 = 10,696.14 : x
  2. Step 2: Convert to fraction form
    30,417.42/45,628.83 = 10,696.14/x
  3. Step 3: Cross multiply
    30,417.42x = 45,628.83 × 10,696.14
  4. Step 4: Simplify right side
    30,417.42x = 488,052,353.72
  5. Step 5: Solve for x
    x = 488,052,353.72/30,417.42
  6. Step 6: Final answer
    x = 16,045.16

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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.