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Finding the Fourth Proportional to 64,276.80, 96,386.40 and 29,198.40

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Solution

The fourth proportional to 64,276.80, 96,386.40 and 29,198.40 is: 43,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,276.80 : 96,386.40 = 29,198.40 : x
  2. Step 2: Convert to fraction form
    64,276.80/96,386.40 = 29,198.40/x
  3. Step 3: Cross multiply
    64,276.80x = 96,386.40 × 29,198.40
  4. Step 4: Simplify right side
    64,276.80x = 2,814,328,661.76
  5. Step 5: Solve for x
    x = 2,814,328,661.76/64,276.80
  6. Step 6: Final answer
    x = 43,784.52

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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.