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Finding the Fourth Proportional to 88,705.26, 122,408.10 and 48,411

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Solution

The fourth proportional to 88,705.26, 122,408.10 and 48,411 is: 66,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,705.26 : 122,408.10 = 48,411 : x
  2. Step 2: Convert to fraction form
    88,705.26/122,408.10 = 48,411/x
  3. Step 3: Cross multiply
    88,705.26x = 122,408.10 × 48,411
  4. Step 4: Simplify right side
    88,705.26x = 5,925,898,529.10
  5. Step 5: Solve for x
    x = 5,925,898,529.10/88,705.26
  6. Step 6: Final answer
    x = 66,804.36

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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.