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Finding the Fourth Proportional to 65,344.90, 90,162.02 and 38,477.58

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Solution

The fourth proportional to 65,344.90, 90,162.02 and 38,477.58 is: 53,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344.90 : 90,162.02 = 38,477.58 : x
  2. Step 2: Convert to fraction form
    65,344.90/90,162.02 = 38,477.58/x
  3. Step 3: Cross multiply
    65,344.90x = 90,162.02 × 38,477.58
  4. Step 4: Simplify right side
    65,344.90x = 3,469,216,337.51
  5. Step 5: Solve for x
    x = 3,469,216,337.51/65,344.90
  6. Step 6: Final answer
    x = 53,090.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.