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Finding the Fourth Proportional to 88,894.40, 133,394.16 and 32,774

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Solution

The fourth proportional to 88,894.40, 133,394.16 and 32,774 is: 49,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,894.40 : 133,394.16 = 32,774 : x
  2. Step 2: Convert to fraction form
    88,894.40/133,394.16 = 32,774/x
  3. Step 3: Cross multiply
    88,894.40x = 133,394.16 × 32,774
  4. Step 4: Simplify right side
    88,894.40x = 4,371,860,199.84
  5. Step 5: Solve for x
    x = 4,371,860,199.84/88,894.40
  6. Step 6: Final answer
    x = 49,180.38

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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.