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Finding the Fourth Proportional to 65,551.94, 90,461.78 and 37,257.63

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Solution

The fourth proportional to 65,551.94, 90,461.78 and 37,257.63 is: 51,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,551.94 : 90,461.78 = 37,257.63 : x
  2. Step 2: Convert to fraction form
    65,551.94/90,461.78 = 37,257.63/x
  3. Step 3: Cross multiply
    65,551.94x = 90,461.78 × 37,257.63
  4. Step 4: Simplify right side
    65,551.94x = 3,370,391,528.38
  5. Step 5: Solve for x
    x = 3,370,391,528.38/65,551.94
  6. Step 6: Final answer
    x = 51,415.59

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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.