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Finding the Fourth Proportional to 30,820.69, 46,203.29 and 11,085.38

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Solution

The fourth proportional to 30,820.69, 46,203.29 and 11,085.38 is: 16,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.69 : 46,203.29 = 11,085.38 : x
  2. Step 2: Convert to fraction form
    30,820.69/46,203.29 = 11,085.38/x
  3. Step 3: Cross multiply
    30,820.69x = 46,203.29 × 11,085.38
  4. Step 4: Simplify right side
    30,820.69x = 512,180,740.46
  5. Step 5: Solve for x
    x = 512,180,740.46/30,820.69
  6. Step 6: Final answer
    x = 16,618.08

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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.