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Finding the Fourth Proportional to 81,014.80, 121,464.60 and 31,075.60

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Solution

The fourth proportional to 81,014.80, 121,464.60 and 31,075.60 is: 46,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,014.80 : 121,464.60 = 31,075.60 : x
  2. Step 2: Convert to fraction form
    81,014.80/121,464.60 = 31,075.60/x
  3. Step 3: Cross multiply
    81,014.80x = 121,464.60 × 31,075.60
  4. Step 4: Simplify right side
    81,014.80x = 3,774,585,323.76
  5. Step 5: Solve for x
    x = 3,774,585,323.76/81,014.80
  6. Step 6: Final answer
    x = 46,591.31

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Why These Related Problems?

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