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Finding the Fourth Proportional to 98,033.31, 146,985.44 and 64,651.59

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Solution

The fourth proportional to 98,033.31, 146,985.44 and 64,651.59 is: 96,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,033.31 : 146,985.44 = 64,651.59 : x
  2. Step 2: Convert to fraction form
    98,033.31/146,985.44 = 64,651.59/x
  3. Step 3: Cross multiply
    98,033.31x = 146,985.44 × 64,651.59
  4. Step 4: Simplify right side
    98,033.31x = 9,502,842,079.59
  5. Step 5: Solve for x
    x = 9,502,842,079.59/98,033.31
  6. Step 6: Final answer
    x = 96,934.83

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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.