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Finding the Fourth Proportional to 65,823.36, 90,822.81 and 38,952.42

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Solution

The fourth proportional to 65,823.36, 90,822.81 and 38,952.42 is: 53,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823.36 : 90,822.81 = 38,952.42 : x
  2. Step 2: Convert to fraction form
    65,823.36/90,822.81 = 38,952.42/x
  3. Step 3: Cross multiply
    65,823.36x = 90,822.81 × 38,952.42
  4. Step 4: Simplify right side
    65,823.36x = 3,537,768,240.70
  5. Step 5: Solve for x
    x = 3,537,768,240.70/65,823.36
  6. Step 6: Final answer
    x = 53,746.39

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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.