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Finding the Fourth Proportional to 64,692.83, 96,957.46 and 29,116.26

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Solution

The fourth proportional to 64,692.83, 96,957.46 and 29,116.26 is: 43,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,692.83 : 96,957.46 = 29,116.26 : x
  2. Step 2: Convert to fraction form
    64,692.83/96,957.46 = 29,116.26/x
  3. Step 3: Cross multiply
    64,692.83x = 96,957.46 × 29,116.26
  4. Step 4: Simplify right side
    64,692.83x = 2,823,038,486.92
  5. Step 5: Solve for x
    x = 2,823,038,486.92/64,692.83
  6. Step 6: Final answer
    x = 43,637.58

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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.