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Finding the Fourth Proportional to 30,896, 46,352.72 and 8,709.58

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Solution

The fourth proportional to 30,896, 46,352.72 and 8,709.58 is: 13,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 46,352.72 = 8,709.58 : x
  2. Step 2: Convert to fraction form
    30,896/46,352.72 = 8,709.58/x
  3. Step 3: Cross multiply
    30,896x = 46,352.72 × 8,709.58
  4. Step 4: Simplify right side
    30,896x = 403,712,723.06
  5. Step 5: Solve for x
    x = 403,712,723.06/30,896
  6. Step 6: Final answer
    x = 13,066.83

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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.