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Finding the Fourth Proportional to 30,572.46, 45,858.75 and 8,386.14

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Solution

The fourth proportional to 30,572.46, 45,858.75 and 8,386.14 is: 12,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.46 : 45,858.75 = 8,386.14 : x
  2. Step 2: Convert to fraction form
    30,572.46/45,858.75 = 8,386.14/x
  3. Step 3: Cross multiply
    30,572.46x = 45,858.75 × 8,386.14
  4. Step 4: Simplify right side
    30,572.46x = 384,577,897.73
  5. Step 5: Solve for x
    x = 384,577,897.73/30,572.46
  6. Step 6: Final answer
    x = 12,579.23

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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.