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Finding the Fourth Proportional to 27,969.90, 42,003.45 and 14,847.90

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Solution

The fourth proportional to 27,969.90, 42,003.45 and 14,847.90 is: 22,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.90 : 42,003.45 = 14,847.90 : x
  2. Step 2: Convert to fraction form
    27,969.90/42,003.45 = 14,847.90/x
  3. Step 3: Cross multiply
    27,969.90x = 42,003.45 × 14,847.90
  4. Step 4: Simplify right side
    27,969.90x = 623,663,025.26
  5. Step 5: Solve for x
    x = 623,663,025.26/27,969.90
  6. Step 6: Final answer
    x = 22,297.65

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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.