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Finding the Fourth Proportional to 30,527.36, 42,125.72 and 16,914.50

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Solution

The fourth proportional to 30,527.36, 42,125.72 and 16,914.50 is: 23,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.36 : 42,125.72 = 16,914.50 : x
  2. Step 2: Convert to fraction form
    30,527.36/42,125.72 = 16,914.50/x
  3. Step 3: Cross multiply
    30,527.36x = 42,125.72 × 16,914.50
  4. Step 4: Simplify right side
    30,527.36x = 712,535,490.94
  5. Step 5: Solve for x
    x = 712,535,490.94/30,527.36
  6. Step 6: Final answer
    x = 23,340.88

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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.