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Finding the Fourth Proportional to 32,632.68, 44,993.70 and 27,588

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Solution

The fourth proportional to 32,632.68, 44,993.70 and 27,588 is: 38,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.68 : 44,993.70 = 27,588 : x
  2. Step 2: Convert to fraction form
    32,632.68/44,993.70 = 27,588/x
  3. Step 3: Cross multiply
    32,632.68x = 44,993.70 × 27,588
  4. Step 4: Simplify right side
    32,632.68x = 1,241,286,195.60
  5. Step 5: Solve for x
    x = 1,241,286,195.60/32,632.68
  6. Step 6: Final answer
    x = 38,038.13

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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.