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Finding the Fourth Proportional to 31,066.56, 46,596.60 and 8,878.50

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Solution

The fourth proportional to 31,066.56, 46,596.60 and 8,878.50 is: 13,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.56 : 46,596.60 = 8,878.50 : x
  2. Step 2: Convert to fraction form
    31,066.56/46,596.60 = 8,878.50/x
  3. Step 3: Cross multiply
    31,066.56x = 46,596.60 × 8,878.50
  4. Step 4: Simplify right side
    31,066.56x = 413,707,913.10
  5. Step 5: Solve for x
    x = 413,707,913.10/31,066.56
  6. Step 6: Final answer
    x = 13,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.