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Finding the Fourth Proportional to 92,235.84, 138,354.54 and 29,906.28

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Solution

The fourth proportional to 92,235.84, 138,354.54 and 29,906.28 is: 44,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,235.84 : 138,354.54 = 29,906.28 : x
  2. Step 2: Convert to fraction form
    92,235.84/138,354.54 = 29,906.28/x
  3. Step 3: Cross multiply
    92,235.84x = 138,354.54 × 29,906.28
  4. Step 4: Simplify right side
    92,235.84x = 4,137,669,612.51
  5. Step 5: Solve for x
    x = 4,137,669,612.51/92,235.84
  6. Step 6: Final answer
    x = 44,859.67

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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.