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Finding the Fourth Proportional to 30,518.60, 45,773.51 and 11,807.47

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Solution

The fourth proportional to 30,518.60, 45,773.51 and 11,807.47 is: 17,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,518.60 : 45,773.51 = 11,807.47 : x
  2. Step 2: Convert to fraction form
    30,518.60/45,773.51 = 11,807.47/x
  3. Step 3: Cross multiply
    30,518.60x = 45,773.51 × 11,807.47
  4. Step 4: Simplify right side
    30,518.60x = 540,469,117.25
  5. Step 5: Solve for x
    x = 540,469,117.25/30,518.60
  6. Step 6: Final answer
    x = 17,709.50

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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.