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Finding the Fourth Proportional to 28,632.50, 39,506.54 and 27,688.58

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Solution

The fourth proportional to 28,632.50, 39,506.54 and 27,688.58 is: 38,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,632.50 : 39,506.54 = 27,688.58 : x
  2. Step 2: Convert to fraction form
    28,632.50/39,506.54 = 27,688.58/x
  3. Step 3: Cross multiply
    28,632.50x = 39,506.54 × 27,688.58
  4. Step 4: Simplify right side
    28,632.50x = 1,093,879,993.31
  5. Step 5: Solve for x
    x = 1,093,879,993.31/28,632.50
  6. Step 6: Final answer
    x = 38,204.14

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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.