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Finding the Fourth Proportional to 33,752, 46,577.28 and 19,612.80

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Solution

The fourth proportional to 33,752, 46,577.28 and 19,612.80 is: 27,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,752 : 46,577.28 = 19,612.80 : x
  2. Step 2: Convert to fraction form
    33,752/46,577.28 = 19,612.80/x
  3. Step 3: Cross multiply
    33,752x = 46,577.28 × 19,612.80
  4. Step 4: Simplify right side
    33,752x = 913,510,877.18
  5. Step 5: Solve for x
    x = 913,510,877.18/33,752
  6. Step 6: Final answer
    x = 27,065.39

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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.