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Finding the Fourth Proportional to 29,957.69, 41,341.86 and 16,529.90

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Solution

The fourth proportional to 29,957.69, 41,341.86 and 16,529.90 is: 22,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957.69 : 41,341.86 = 16,529.90 : x
  2. Step 2: Convert to fraction form
    29,957.69/41,341.86 = 16,529.90/x
  3. Step 3: Cross multiply
    29,957.69x = 41,341.86 × 16,529.90
  4. Step 4: Simplify right side
    29,957.69x = 683,376,811.61
  5. Step 5: Solve for x
    x = 683,376,811.61/29,957.69
  6. Step 6: Final answer
    x = 22,811.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.