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Finding the Fourth Proportional to 64,461.44, 96,696.80 and 26,983.80

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Solution

The fourth proportional to 64,461.44, 96,696.80 and 26,983.80 is: 40,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,461.44 : 96,696.80 = 26,983.80 : x
  2. Step 2: Convert to fraction form
    64,461.44/96,696.80 = 26,983.80/x
  3. Step 3: Cross multiply
    64,461.44x = 96,696.80 × 26,983.80
  4. Step 4: Simplify right side
    64,461.44x = 2,609,247,111.84
  5. Step 5: Solve for x
    x = 2,609,247,111.84/64,461.44
  6. Step 6: Final answer
    x = 40,477.64

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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.