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Finding the Fourth Proportional to 47,047.50, 70,571.25 and 19,345.50

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Solution

The fourth proportional to 47,047.50, 70,571.25 and 19,345.50 is: 29,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047.50 : 70,571.25 = 19,345.50 : x
  2. Step 2: Convert to fraction form
    47,047.50/70,571.25 = 19,345.50/x
  3. Step 3: Cross multiply
    47,047.50x = 70,571.25 × 19,345.50
  4. Step 4: Simplify right side
    47,047.50x = 1,365,236,116.88
  5. Step 5: Solve for x
    x = 1,365,236,116.88/47,047.50
  6. Step 6: Final answer
    x = 29,018.25

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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.