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Finding the Fourth Proportional to 30,578.01, 45,862.09 and 8,386.23

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Solution

The fourth proportional to 30,578.01, 45,862.09 and 8,386.23 is: 12,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.01 : 45,862.09 = 8,386.23 : x
  2. Step 2: Convert to fraction form
    30,578.01/45,862.09 = 8,386.23/x
  3. Step 3: Cross multiply
    30,578.01x = 45,862.09 × 8,386.23
  4. Step 4: Simplify right side
    30,578.01x = 384,610,035.02
  5. Step 5: Solve for x
    x = 384,610,035.02/30,578.01
  6. Step 6: Final answer
    x = 12,577.99

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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.