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Finding the Fourth Proportional to 30,298.14, 45,446.34 and 8,111.51

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Solution

The fourth proportional to 30,298.14, 45,446.34 and 8,111.51 is: 12,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.14 : 45,446.34 = 8,111.51 : x
  2. Step 2: Convert to fraction form
    30,298.14/45,446.34 = 8,111.51/x
  3. Step 3: Cross multiply
    30,298.14x = 45,446.34 × 8,111.51
  4. Step 4: Simplify right side
    30,298.14x = 368,638,214.14
  5. Step 5: Solve for x
    x = 368,638,214.14/30,298.14
  6. Step 6: Final answer
    x = 12,167.02

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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.