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Finding the Fourth Proportional to 32,116.80, 44,320.80 and 17,969.76

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Solution

The fourth proportional to 32,116.80, 44,320.80 and 17,969.76 is: 24,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.80 : 44,320.80 = 17,969.76 : x
  2. Step 2: Convert to fraction form
    32,116.80/44,320.80 = 17,969.76/x
  3. Step 3: Cross multiply
    32,116.80x = 44,320.80 × 17,969.76
  4. Step 4: Simplify right side
    32,116.80x = 796,434,139.01
  5. Step 5: Solve for x
    x = 796,434,139.01/32,116.80
  6. Step 6: Final answer
    x = 24,798.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.