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Finding the Fourth Proportional to 65,893.50, 98,646.39 and 40,853.16

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Solution

The fourth proportional to 65,893.50, 98,646.39 and 40,853.16 is: 61,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.50 : 98,646.39 = 40,853.16 : x
  2. Step 2: Convert to fraction form
    65,893.50/98,646.39 = 40,853.16/x
  3. Step 3: Cross multiply
    65,893.50x = 98,646.39 × 40,853.16
  4. Step 4: Simplify right side
    65,893.50x = 4,030,016,754.09
  5. Step 5: Solve for x
    x = 4,030,016,754.09/65,893.50
  6. Step 6: Final answer
    x = 61,159.55

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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.