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Finding the Fourth Proportional to 30,210.14, 45,319.82 and 15,410.98

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Solution

The fourth proportional to 30,210.14, 45,319.82 and 15,410.98 is: 23,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.14 : 45,319.82 = 15,410.98 : x
  2. Step 2: Convert to fraction form
    30,210.14/45,319.82 = 15,410.98/x
  3. Step 3: Cross multiply
    30,210.14x = 45,319.82 × 15,410.98
  4. Step 4: Simplify right side
    30,210.14x = 698,422,952.92
  5. Step 5: Solve for x
    x = 698,422,952.92/30,210.14
  6. Step 6: Final answer
    x = 23,118.83

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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.