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Finding the Fourth Proportional to 30,773.84, 46,161.12 and 11,066.48

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Solution

The fourth proportional to 30,773.84, 46,161.12 and 11,066.48 is: 16,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.84 : 46,161.12 = 11,066.48 : x
  2. Step 2: Convert to fraction form
    30,773.84/46,161.12 = 11,066.48/x
  3. Step 3: Cross multiply
    30,773.84x = 46,161.12 × 11,066.48
  4. Step 4: Simplify right side
    30,773.84x = 510,841,111.26
  5. Step 5: Solve for x
    x = 510,841,111.26/30,773.84
  6. Step 6: Final answer
    x = 16,599.85

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1.5x scale

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.