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Finding the Fourth Proportional to 32,471.23, 48,697.91 and 11,123.63

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Solution

The fourth proportional to 32,471.23, 48,697.91 and 11,123.63 is: 16,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.23 : 48,697.91 = 11,123.63 : x
  2. Step 2: Convert to fraction form
    32,471.23/48,697.91 = 11,123.63/x
  3. Step 3: Cross multiply
    32,471.23x = 48,697.91 × 11,123.63
  4. Step 4: Simplify right side
    32,471.23x = 541,697,457.84
  5. Step 5: Solve for x
    x = 541,697,457.84/32,471.23
  6. Step 6: Final answer
    x = 16,682.38

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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.