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Finding the Fourth Proportional to 30,572.78, 45,859.16 and 8,386.31

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Solution

The fourth proportional to 30,572.78, 45,859.16 and 8,386.31 is: 12,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.78 : 45,859.16 = 8,386.31 : x
  2. Step 2: Convert to fraction form
    30,572.78/45,859.16 = 8,386.31/x
  3. Step 3: Cross multiply
    30,572.78x = 45,859.16 × 8,386.31
  4. Step 4: Simplify right side
    30,572.78x = 384,589,267.71
  5. Step 5: Solve for x
    x = 384,589,267.71/30,572.78
  6. Step 6: Final answer
    x = 12,579.47

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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.