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Finding the Fourth Proportional to 29,677.50, 40,954.95 and 17,102.28

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Solution

The fourth proportional to 29,677.50, 40,954.95 and 17,102.28 is: 23,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.50 : 40,954.95 = 17,102.28 : x
  2. Step 2: Convert to fraction form
    29,677.50/40,954.95 = 17,102.28/x
  3. Step 3: Cross multiply
    29,677.50x = 40,954.95 × 17,102.28
  4. Step 4: Simplify right side
    29,677.50x = 700,423,022.29
  5. Step 5: Solve for x
    x = 700,423,022.29/29,677.50
  6. Step 6: Final answer
    x = 23,601.15

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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.