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Finding the Fourth Proportional to 92,970.32, 139,464.69 and 29,774.54

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Solution

The fourth proportional to 92,970.32, 139,464.69 and 29,774.54 is: 44,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,970.32 : 139,464.69 = 29,774.54 : x
  2. Step 2: Convert to fraction form
    92,970.32/139,464.69 = 29,774.54/x
  3. Step 3: Cross multiply
    92,970.32x = 139,464.69 × 29,774.54
  4. Step 4: Simplify right side
    92,970.32x = 4,152,496,990.99
  5. Step 5: Solve for x
    x = 4,152,496,990.99/92,970.32
  6. Step 6: Final answer
    x = 44,664.76

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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.