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Finding the Fourth Proportional to 84,666, 127,075.14 and 45,256.80

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Solution

The fourth proportional to 84,666, 127,075.14 and 45,256.80 is: 67,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,666 : 127,075.14 = 45,256.80 : x
  2. Step 2: Convert to fraction form
    84,666/127,075.14 = 45,256.80/x
  3. Step 3: Cross multiply
    84,666x = 127,075.14 × 45,256.80
  4. Step 4: Simplify right side
    84,666x = 5,751,014,195.95
  5. Step 5: Solve for x
    x = 5,751,014,195.95/84,666
  6. Step 6: Final answer
    x = 67,925.90

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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.