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Finding the Fourth Proportional to 47,182.50, 70,784.69 and 16,017.75

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Solution

The fourth proportional to 47,182.50, 70,784.69 and 16,017.75 is: 24,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182.50 : 70,784.69 = 16,017.75 : x
  2. Step 2: Convert to fraction form
    47,182.50/70,784.69 = 16,017.75/x
  3. Step 3: Cross multiply
    47,182.50x = 70,784.69 × 16,017.75
  4. Step 4: Simplify right side
    47,182.50x = 1,133,811,388.16
  5. Step 5: Solve for x
    x = 1,133,811,388.16/47,182.50
  6. Step 6: Final answer
    x = 24,030.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.