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Finding the Fourth Proportional to 81,014.40, 121,435.20 and 31,075.20

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Solution

The fourth proportional to 81,014.40, 121,435.20 and 31,075.20 is: 46,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,014.40 : 121,435.20 = 31,075.20 : x
  2. Step 2: Convert to fraction form
    81,014.40/121,435.20 = 31,075.20/x
  3. Step 3: Cross multiply
    81,014.40x = 121,435.20 × 31,075.20
  4. Step 4: Simplify right side
    81,014.40x = 3,773,623,127.04
  5. Step 5: Solve for x
    x = 3,773,623,127.04/81,014.40
  6. Step 6: Final answer
    x = 46,579.66

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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.