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Finding the Fourth Proportional to 86,075.94, 129,077.40 and 33,449.42

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Solution

The fourth proportional to 86,075.94, 129,077.40 and 33,449.42 is: 50,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,075.94 : 129,077.40 = 33,449.42 : x
  2. Step 2: Convert to fraction form
    86,075.94/129,077.40 = 33,449.42/x
  3. Step 3: Cross multiply
    86,075.94x = 129,077.40 × 33,449.42
  4. Step 4: Simplify right side
    86,075.94x = 4,317,564,165.11
  5. Step 5: Solve for x
    x = 4,317,564,165.11/86,075.94
  6. Step 6: Final answer
    x = 50,159.94

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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.