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Finding the Fourth Proportional to 40,477.76, 60,706.84 and 20,746.16

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Solution

The fourth proportional to 40,477.76, 60,706.84 and 20,746.16 is: 31,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,477.76 : 60,706.84 = 20,746.16 : x
  2. Step 2: Convert to fraction form
    40,477.76/60,706.84 = 20,746.16/x
  3. Step 3: Cross multiply
    40,477.76x = 60,706.84 × 20,746.16
  4. Step 4: Simplify right side
    40,477.76x = 1,259,433,815.73
  5. Step 5: Solve for x
    x = 1,259,433,815.73/40,477.76
  6. Step 6: Final answer
    x = 31,114.22

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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.