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Finding the Fourth Proportional to 30,204.29, 45,309.17 and 12,430.82

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Solution

The fourth proportional to 30,204.29, 45,309.17 and 12,430.82 is: 18,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.29 : 45,309.17 = 12,430.82 : x
  2. Step 2: Convert to fraction form
    30,204.29/45,309.17 = 12,430.82/x
  3. Step 3: Cross multiply
    30,204.29x = 45,309.17 × 12,430.82
  4. Step 4: Simplify right side
    30,204.29x = 563,230,026.11
  5. Step 5: Solve for x
    x = 563,230,026.11/30,204.29
  6. Step 6: Final answer
    x = 18,647.35

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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.