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Finding the Fourth Proportional to 92,004.16, 137,972.32 and 32,824

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Solution

The fourth proportional to 92,004.16, 137,972.32 and 32,824 is: 49,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,004.16 : 137,972.32 = 32,824 : x
  2. Step 2: Convert to fraction form
    92,004.16/137,972.32 = 32,824/x
  3. Step 3: Cross multiply
    92,004.16x = 137,972.32 × 32,824
  4. Step 4: Simplify right side
    92,004.16x = 4,528,803,431.68
  5. Step 5: Solve for x
    x = 4,528,803,431.68/92,004.16
  6. Step 6: Final answer
    x = 49,223.90

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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.