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Finding the Fourth Proportional to 30,842.40, 42,562.44 and 16,695.24

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Solution

The fourth proportional to 30,842.40, 42,562.44 and 16,695.24 is: 23,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.40 : 42,562.44 = 16,695.24 : x
  2. Step 2: Convert to fraction form
    30,842.40/42,562.44 = 16,695.24/x
  3. Step 3: Cross multiply
    30,842.40x = 42,562.44 × 16,695.24
  4. Step 4: Simplify right side
    30,842.40x = 710,590,150.79
  5. Step 5: Solve for x
    x = 710,590,150.79/30,842.40
  6. Step 6: Final answer
    x = 23,039.39

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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.