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Finding the Fourth Proportional to 30,773.76, 46,165.08 and 9,706.64

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Solution

The fourth proportional to 30,773.76, 46,165.08 and 9,706.64 is: 14,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.76 : 46,165.08 = 9,706.64 : x
  2. Step 2: Convert to fraction form
    30,773.76/46,165.08 = 9,706.64/x
  3. Step 3: Cross multiply
    30,773.76x = 46,165.08 × 9,706.64
  4. Step 4: Simplify right side
    30,773.76x = 448,107,812.13
  5. Step 5: Solve for x
    x = 448,107,812.13/30,773.76
  6. Step 6: Final answer
    x = 14,561.36

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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.