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Finding the Fourth Proportional to 29,970.42, 44,978.31 and 16,833.84

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Solution

The fourth proportional to 29,970.42, 44,978.31 and 16,833.84 is: 25,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.42 : 44,978.31 = 16,833.84 : x
  2. Step 2: Convert to fraction form
    29,970.42/44,978.31 = 16,833.84/x
  3. Step 3: Cross multiply
    29,970.42x = 44,978.31 × 16,833.84
  4. Step 4: Simplify right side
    29,970.42x = 757,157,674.01
  5. Step 5: Solve for x
    x = 757,157,674.01/29,970.42
  6. Step 6: Final answer
    x = 25,263.50

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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.