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Finding the Fourth Proportional to 30,031.26, 45,051.96 and 10,305.06

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Solution

The fourth proportional to 30,031.26, 45,051.96 and 10,305.06 is: 15,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.26 : 45,051.96 = 10,305.06 : x
  2. Step 2: Convert to fraction form
    30,031.26/45,051.96 = 10,305.06/x
  3. Step 3: Cross multiply
    30,031.26x = 45,051.96 × 10,305.06
  4. Step 4: Simplify right side
    30,031.26x = 464,263,150.92
  5. Step 5: Solve for x
    x = 464,263,150.92/30,031.26
  6. Step 6: Final answer
    x = 15,459.33

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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.