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Finding the Fourth Proportional to 65,252.69, 97,863.06 and 20,870.26

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Solution

The fourth proportional to 65,252.69, 97,863.06 and 20,870.26 is: 31,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.69 : 97,863.06 = 20,870.26 : x
  2. Step 2: Convert to fraction form
    65,252.69/97,863.06 = 20,870.26/x
  3. Step 3: Cross multiply
    65,252.69x = 97,863.06 × 20,870.26
  4. Step 4: Simplify right side
    65,252.69x = 2,042,427,506.60
  5. Step 5: Solve for x
    x = 2,042,427,506.60/65,252.69
  6. Step 6: Final answer
    x = 31,300.28

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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.