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Finding the Fourth Proportional to 30,004.67, 45,013.15 and 10,284.76

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Solution

The fourth proportional to 30,004.67, 45,013.15 and 10,284.76 is: 15,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004.67 : 45,013.15 = 10,284.76 : x
  2. Step 2: Convert to fraction form
    30,004.67/45,013.15 = 10,284.76/x
  3. Step 3: Cross multiply
    30,004.67x = 45,013.15 × 10,284.76
  4. Step 4: Simplify right side
    30,004.67x = 462,949,444.59
  5. Step 5: Solve for x
    x = 462,949,444.59/30,004.67
  6. Step 6: Final answer
    x = 15,429.25

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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.