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Finding the Fourth Proportional to 51,702.63, 77,561.82 and 26,388.32

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Solution

The fourth proportional to 51,702.63, 77,561.82 and 26,388.32 is: 39,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.63 : 77,561.82 = 26,388.32 : x
  2. Step 2: Convert to fraction form
    51,702.63/77,561.82 = 26,388.32/x
  3. Step 3: Cross multiply
    51,702.63x = 77,561.82 × 26,388.32
  4. Step 4: Simplify right side
    51,702.63x = 2,046,725,738.13
  5. Step 5: Solve for x
    x = 2,046,725,738.13/51,702.63
  6. Step 6: Final answer
    x = 39,586.49

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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.