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Finding the Fourth Proportional to 64,505.54, 89,026.16 and 36,211.23

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Solution

The fourth proportional to 64,505.54, 89,026.16 and 36,211.23 is: 49,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505.54 : 89,026.16 = 36,211.23 : x
  2. Step 2: Convert to fraction form
    64,505.54/89,026.16 = 36,211.23/x
  3. Step 3: Cross multiply
    64,505.54x = 89,026.16 × 36,211.23
  4. Step 4: Simplify right side
    64,505.54x = 3,223,746,574.72
  5. Step 5: Solve for x
    x = 3,223,746,574.72/64,505.54
  6. Step 6: Final answer
    x = 49,976.27

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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.