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Finding the Fourth Proportional to 30,415.02, 45,622.79 and 8,228.60

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Solution

The fourth proportional to 30,415.02, 45,622.79 and 8,228.60 is: 12,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.02 : 45,622.79 = 8,228.60 : x
  2. Step 2: Convert to fraction form
    30,415.02/45,622.79 = 8,228.60/x
  3. Step 3: Cross multiply
    30,415.02x = 45,622.79 × 8,228.60
  4. Step 4: Simplify right side
    30,415.02x = 375,411,689.79
  5. Step 5: Solve for x
    x = 375,411,689.79/30,415.02
  6. Step 6: Final answer
    x = 12,342.97

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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.