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Finding the Fourth Proportional to 104,678.92, 156,994.80 and 29,797.41

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Solution

The fourth proportional to 104,678.92, 156,994.80 and 29,797.41 is: 44,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,678.92 : 156,994.80 = 29,797.41 : x
  2. Step 2: Convert to fraction form
    104,678.92/156,994.80 = 29,797.41/x
  3. Step 3: Cross multiply
    104,678.92x = 156,994.80 × 29,797.41
  4. Step 4: Simplify right side
    104,678.92x = 4,678,038,423.47
  5. Step 5: Solve for x
    x = 4,678,038,423.47/104,678.92
  6. Step 6: Final answer
    x = 44,689.40

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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.