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Finding the Fourth Proportional to 29,703, 40,990.14 and 16,457.56

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Solution

The fourth proportional to 29,703, 40,990.14 and 16,457.56 is: 22,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703 : 40,990.14 = 16,457.56 : x
  2. Step 2: Convert to fraction form
    29,703/40,990.14 = 16,457.56/x
  3. Step 3: Cross multiply
    29,703x = 40,990.14 × 16,457.56
  4. Step 4: Simplify right side
    29,703x = 674,597,688.46
  5. Step 5: Solve for x
    x = 674,597,688.46/29,703
  6. Step 6: Final answer
    x = 22,711.43

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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.