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Finding the Fourth Proportional to 30,505.47, 45,750.83 and 11,773.56

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Solution

The fourth proportional to 30,505.47, 45,750.83 and 11,773.56 is: 17,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.47 : 45,750.83 = 11,773.56 : x
  2. Step 2: Convert to fraction form
    30,505.47/45,750.83 = 11,773.56/x
  3. Step 3: Cross multiply
    30,505.47x = 45,750.83 × 11,773.56
  4. Step 4: Simplify right side
    30,505.47x = 538,650,083.19
  5. Step 5: Solve for x
    x = 538,650,083.19/30,505.47
  6. Step 6: Final answer
    x = 17,657.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.