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Finding the Fourth Proportional to 65,461.14, 90,336.36 and 35,653.14

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Solution

The fourth proportional to 65,461.14, 90,336.36 and 35,653.14 is: 49,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,461.14 : 90,336.36 = 35,653.14 : x
  2. Step 2: Convert to fraction form
    65,461.14/90,336.36 = 35,653.14/x
  3. Step 3: Cross multiply
    65,461.14x = 90,336.36 × 35,653.14
  4. Step 4: Simplify right side
    65,461.14x = 3,220,774,890.17
  5. Step 5: Solve for x
    x = 3,220,774,890.17/65,461.14
  6. Step 6: Final answer
    x = 49,201.33

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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.