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Finding the Fourth Proportional to 65,643.66, 90,588.51 and 37,348.74

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Solution

The fourth proportional to 65,643.66, 90,588.51 and 37,348.74 is: 51,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643.66 : 90,588.51 = 37,348.74 : x
  2. Step 2: Convert to fraction form
    65,643.66/90,588.51 = 37,348.74/x
  3. Step 3: Cross multiply
    65,643.66x = 90,588.51 × 37,348.74
  4. Step 4: Simplify right side
    65,643.66x = 3,383,366,706.98
  5. Step 5: Solve for x
    x = 3,383,366,706.98/65,643.66
  6. Step 6: Final answer
    x = 51,541.41

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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.