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Finding the Fourth Proportional to 29,696.50, 40,980.28 and 16,267.48

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Solution

The fourth proportional to 29,696.50, 40,980.28 and 16,267.48 is: 22,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.50 : 40,980.28 = 16,267.48 : x
  2. Step 2: Convert to fraction form
    29,696.50/40,980.28 = 16,267.48/x
  3. Step 3: Cross multiply
    29,696.50x = 40,980.28 × 16,267.48
  4. Step 4: Simplify right side
    29,696.50x = 666,646,003.19
  5. Step 5: Solve for x
    x = 666,646,003.19/29,696.50
  6. Step 6: Final answer
    x = 22,448.64

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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.