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Finding the Fourth Proportional to 33,752, 46,577.80 and 18,848

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Solution

The fourth proportional to 33,752, 46,577.80 and 18,848 is: 26,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,752 : 46,577.80 = 18,848 : x
  2. Step 2: Convert to fraction form
    33,752/46,577.80 = 18,848/x
  3. Step 3: Cross multiply
    33,752x = 46,577.80 × 18,848
  4. Step 4: Simplify right side
    33,752x = 877,898,374.40
  5. Step 5: Solve for x
    x = 877,898,374.40/33,752
  6. Step 6: Final answer
    x = 26,010.26

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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.