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Finding the Fourth Proportional to 30,867.27, 46,301.03 and 7,493.70

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Solution

The fourth proportional to 30,867.27, 46,301.03 and 7,493.70 is: 11,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.27 : 46,301.03 = 7,493.70 : x
  2. Step 2: Convert to fraction form
    30,867.27/46,301.03 = 7,493.70/x
  3. Step 3: Cross multiply
    30,867.27x = 46,301.03 × 7,493.70
  4. Step 4: Simplify right side
    30,867.27x = 346,966,028.51
  5. Step 5: Solve for x
    x = 346,966,028.51/30,867.27
  6. Step 6: Final answer
    x = 11,240.58

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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.