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Finding the Fourth Proportional to 30,777.63, 46,158.23 and 8,587.10

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Solution

The fourth proportional to 30,777.63, 46,158.23 and 8,587.10 is: 12,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.63 : 46,158.23 = 8,587.10 : x
  2. Step 2: Convert to fraction form
    30,777.63/46,158.23 = 8,587.10/x
  3. Step 3: Cross multiply
    30,777.63x = 46,158.23 × 8,587.10
  4. Step 4: Simplify right side
    30,777.63x = 396,365,473.70
  5. Step 5: Solve for x
    x = 396,365,473.70/30,777.63
  6. Step 6: Final answer
    x = 12,878.36

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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.