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Finding the Fourth Proportional to 65,810.94, 98,689.24 and 25,278.34

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Solution

The fourth proportional to 65,810.94, 98,689.24 and 25,278.34 is: 37,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,810.94 : 98,689.24 = 25,278.34 : x
  2. Step 2: Convert to fraction form
    65,810.94/98,689.24 = 25,278.34/x
  3. Step 3: Cross multiply
    65,810.94x = 98,689.24 × 25,278.34
  4. Step 4: Simplify right side
    65,810.94x = 2,494,700,163.06
  5. Step 5: Solve for x
    x = 2,494,700,163.06/65,810.94
  6. Step 6: Final answer
    x = 37,907.07

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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.