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Finding the Fourth Proportional to 51,920.50, 71,650.32 and 28,047.16

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Solution

The fourth proportional to 51,920.50, 71,650.32 and 28,047.16 is: 38,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920.50 : 71,650.32 = 28,047.16 : x
  2. Step 2: Convert to fraction form
    51,920.50/71,650.32 = 28,047.16/x
  3. Step 3: Cross multiply
    51,920.50x = 71,650.32 × 28,047.16
  4. Step 4: Simplify right side
    51,920.50x = 2,009,587,989.09
  5. Step 5: Solve for x
    x = 2,009,587,989.09/51,920.50
  6. Step 6: Final answer
    x = 38,705.10

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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.