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Finding the Fourth Proportional to 30,775.04, 46,162.94 and 11,053.59

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Solution

The fourth proportional to 30,775.04, 46,162.94 and 11,053.59 is: 16,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.04 : 46,162.94 = 11,053.59 : x
  2. Step 2: Convert to fraction form
    30,775.04/46,162.94 = 11,053.59/x
  3. Step 3: Cross multiply
    30,775.04x = 46,162.94 × 11,053.59
  4. Step 4: Simplify right side
    30,775.04x = 510,265,983.58
  5. Step 5: Solve for x
    x = 510,265,983.58/30,775.04
  6. Step 6: Final answer
    x = 16,580.51

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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.