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Finding the Fourth Proportional to 65,216.88, 97,830.72 and 25,223.94

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Solution

The fourth proportional to 65,216.88, 97,830.72 and 25,223.94 is: 37,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.88 : 97,830.72 = 25,223.94 : x
  2. Step 2: Convert to fraction form
    65,216.88/97,830.72 = 25,223.94/x
  3. Step 3: Cross multiply
    65,216.88x = 97,830.72 × 25,223.94
  4. Step 4: Simplify right side
    65,216.88x = 2,467,676,211.44
  5. Step 5: Solve for x
    x = 2,467,676,211.44/65,216.88
  6. Step 6: Final answer
    x = 37,838.00

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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.