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Finding the Fourth Proportional to 29,985.54, 44,969.67 and 9,210.66

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Solution

The fourth proportional to 29,985.54, 44,969.67 and 9,210.66 is: 13,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.54 : 44,969.67 = 9,210.66 : x
  2. Step 2: Convert to fraction form
    29,985.54/44,969.67 = 9,210.66/x
  3. Step 3: Cross multiply
    29,985.54x = 44,969.67 × 9,210.66
  4. Step 4: Simplify right side
    29,985.54x = 414,200,340.68
  5. Step 5: Solve for x
    x = 414,200,340.68/29,985.54
  6. Step 6: Final answer
    x = 13,813.34

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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.