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Finding the Fourth Proportional to 30,302.24, 45,455.64 and 8,115.12

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Solution

The fourth proportional to 30,302.24, 45,455.64 and 8,115.12 is: 12,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.24 : 45,455.64 = 8,115.12 : x
  2. Step 2: Convert to fraction form
    30,302.24/45,455.64 = 8,115.12/x
  3. Step 3: Cross multiply
    30,302.24x = 45,455.64 × 8,115.12
  4. Step 4: Simplify right side
    30,302.24x = 368,877,973.28
  5. Step 5: Solve for x
    x = 368,877,973.28/30,302.24
  6. Step 6: Final answer
    x = 12,173.29

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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.