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Finding the Fourth Proportional to 30,458.67, 45,695.78 and 11,733.66

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Solution

The fourth proportional to 30,458.67, 45,695.78 and 11,733.66 is: 17,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.67 : 45,695.78 = 11,733.66 : x
  2. Step 2: Convert to fraction form
    30,458.67/45,695.78 = 11,733.66/x
  3. Step 3: Cross multiply
    30,458.67x = 45,695.78 × 11,733.66
  4. Step 4: Simplify right side
    30,458.67x = 536,178,731.29
  5. Step 5: Solve for x
    x = 536,178,731.29/30,458.67
  6. Step 6: Final answer
    x = 17,603.49

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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.