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Finding the Fourth Proportional to 29,970.76, 44,953.98 and 9,193

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Solution

The fourth proportional to 29,970.76, 44,953.98 and 9,193 is: 13,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.76 : 44,953.98 = 9,193 : x
  2. Step 2: Convert to fraction form
    29,970.76/44,953.98 = 9,193/x
  3. Step 3: Cross multiply
    29,970.76x = 44,953.98 × 9,193
  4. Step 4: Simplify right side
    29,970.76x = 413,261,938.14
  5. Step 5: Solve for x
    x = 413,261,938.14/29,970.76
  6. Step 6: Final answer
    x = 13,788.84

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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.