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Finding the Fourth Proportional to 65,862.59, 90,889.74 and 35,647.25

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Solution

The fourth proportional to 65,862.59, 90,889.74 and 35,647.25 is: 49,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862.59 : 90,889.74 = 35,647.25 : x
  2. Step 2: Convert to fraction form
    65,862.59/90,889.74 = 35,647.25/x
  3. Step 3: Cross multiply
    65,862.59x = 90,889.74 × 35,647.25
  4. Step 4: Simplify right side
    65,862.59x = 3,239,968,829.77
  5. Step 5: Solve for x
    x = 3,239,968,829.77/65,862.59
  6. Step 6: Final answer
    x = 49,192.86

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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.