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Finding the Fourth Proportional to 70,406.69, 105,648.47 and 29,873.95

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Solution

The fourth proportional to 70,406.69, 105,648.47 and 29,873.95 is: 44,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,406.69 : 105,648.47 = 29,873.95 : x
  2. Step 2: Convert to fraction form
    70,406.69/105,648.47 = 29,873.95/x
  3. Step 3: Cross multiply
    70,406.69x = 105,648.47 × 29,873.95
  4. Step 4: Simplify right side
    70,406.69x = 3,156,137,110.36
  5. Step 5: Solve for x
    x = 3,156,137,110.36/70,406.69
  6. Step 6: Final answer
    x = 44,827.23

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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.