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Finding the Fourth Proportional to 76,091.60, 114,075.50 and 31,751.38

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Solution

The fourth proportional to 76,091.60, 114,075.50 and 31,751.38 is: 47,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,091.60 : 114,075.50 = 31,751.38 : x
  2. Step 2: Convert to fraction form
    76,091.60/114,075.50 = 31,751.38/x
  3. Step 3: Cross multiply
    76,091.60x = 114,075.50 × 31,751.38
  4. Step 4: Simplify right side
    76,091.60x = 3,622,054,549.19
  5. Step 5: Solve for x
    x = 3,622,054,549.19/76,091.60
  6. Step 6: Final answer
    x = 47,601.24

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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.