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Finding the Fourth Proportional to 108,075.60, 162,137.70 and 33,199.20

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Solution

The fourth proportional to 108,075.60, 162,137.70 and 33,199.20 is: 49,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,075.60 : 162,137.70 = 33,199.20 : x
  2. Step 2: Convert to fraction form
    108,075.60/162,137.70 = 33,199.20/x
  3. Step 3: Cross multiply
    108,075.60x = 162,137.70 × 33,199.20
  4. Step 4: Simplify right side
    108,075.60x = 5,382,841,929.84
  5. Step 5: Solve for x
    x = 5,382,841,929.84/108,075.60
  6. Step 6: Final answer
    x = 49,806.26

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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.