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Finding the Fourth Proportional to 30,065.67, 45,120.38 and 13,444.47

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Solution

The fourth proportional to 30,065.67, 45,120.38 and 13,444.47 is: 20,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.67 : 45,120.38 = 13,444.47 : x
  2. Step 2: Convert to fraction form
    30,065.67/45,120.38 = 13,444.47/x
  3. Step 3: Cross multiply
    30,065.67x = 45,120.38 × 13,444.47
  4. Step 4: Simplify right side
    30,065.67x = 606,619,528.08
  5. Step 5: Solve for x
    x = 606,619,528.08/30,065.67
  6. Step 6: Final answer
    x = 20,176.48

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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.