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Finding the Fourth Proportional to 30,438.50, 42,005.01 and 17,009.75

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Solution

The fourth proportional to 30,438.50, 42,005.01 and 17,009.75 is: 23,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.50 : 42,005.01 = 17,009.75 : x
  2. Step 2: Convert to fraction form
    30,438.50/42,005.01 = 17,009.75/x
  3. Step 3: Cross multiply
    30,438.50x = 42,005.01 × 17,009.75
  4. Step 4: Simplify right side
    30,438.50x = 714,494,771.35
  5. Step 5: Solve for x
    x = 714,494,771.35/30,438.50
  6. Step 6: Final answer
    x = 23,473.39

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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.