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Finding the Fourth Proportional to 32,594.74, 48,914.02 and 11,534.70

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Solution

The fourth proportional to 32,594.74, 48,914.02 and 11,534.70 is: 17,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.74 : 48,914.02 = 11,534.70 : x
  2. Step 2: Convert to fraction form
    32,594.74/48,914.02 = 11,534.70/x
  3. Step 3: Cross multiply
    32,594.74x = 48,914.02 × 11,534.70
  4. Step 4: Simplify right side
    32,594.74x = 564,208,546.49
  5. Step 5: Solve for x
    x = 564,208,546.49/32,594.74
  6. Step 6: Final answer
    x = 17,309.80

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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.