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Finding the Fourth Proportional to 32,004.68, 47,991.68 and 15,123.64

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Solution

The fourth proportional to 32,004.68, 47,991.68 and 15,123.64 is: 22,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.68 : 47,991.68 = 15,123.64 : x
  2. Step 2: Convert to fraction form
    32,004.68/47,991.68 = 15,123.64/x
  3. Step 3: Cross multiply
    32,004.68x = 47,991.68 × 15,123.64
  4. Step 4: Simplify right side
    32,004.68x = 725,808,788.79
  5. Step 5: Solve for x
    x = 725,808,788.79/32,004.68
  6. Step 6: Final answer
    x = 22,678.21

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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.