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Finding the Fourth Proportional to 104,947.50, 157,447.89 and 31,075.50

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Solution

The fourth proportional to 104,947.50, 157,447.89 and 31,075.50 is: 46,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,947.50 : 157,447.89 = 31,075.50 : x
  2. Step 2: Convert to fraction form
    104,947.50/157,447.89 = 31,075.50/x
  3. Step 3: Cross multiply
    104,947.50x = 157,447.89 × 31,075.50
  4. Step 4: Simplify right side
    104,947.50x = 4,892,771,905.70
  5. Step 5: Solve for x
    x = 4,892,771,905.70/104,947.50
  6. Step 6: Final answer
    x = 46,621.14

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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.