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Finding the Fourth Proportional to 65,852.80, 98,775.72 and 18,471.16

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Solution

The fourth proportional to 65,852.80, 98,775.72 and 18,471.16 is: 27,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852.80 : 98,775.72 = 18,471.16 : x
  2. Step 2: Convert to fraction form
    65,852.80/98,775.72 = 18,471.16/x
  3. Step 3: Cross multiply
    65,852.80x = 98,775.72 × 18,471.16
  4. Step 4: Simplify right side
    65,852.80x = 1,824,501,696.09
  5. Step 5: Solve for x
    x = 1,824,501,696.09/65,852.80
  6. Step 6: Final answer
    x = 27,705.76

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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.