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Finding the Fourth Proportional to 65,252.57, 97,862.86 and 20,870.13

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Solution

The fourth proportional to 65,252.57, 97,862.86 and 20,870.13 is: 31,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.57 : 97,862.86 = 20,870.13 : x
  2. Step 2: Convert to fraction form
    65,252.57/97,862.86 = 20,870.13/x
  3. Step 3: Cross multiply
    65,252.57x = 97,862.86 × 20,870.13
  4. Step 4: Simplify right side
    65,252.57x = 2,042,410,610.37
  5. Step 5: Solve for x
    x = 2,042,410,610.37/65,252.57
  6. Step 6: Final answer
    x = 31,300.08

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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.