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Finding the Fourth Proportional to 78,075, 117,115.74 and 22,671

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Solution

The fourth proportional to 78,075, 117,115.74 and 22,671 is: 34,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,075 : 117,115.74 = 22,671 : x
  2. Step 2: Convert to fraction form
    78,075/117,115.74 = 22,671/x
  3. Step 3: Cross multiply
    78,075x = 117,115.74 × 22,671
  4. Step 4: Simplify right side
    78,075x = 2,655,130,941.54
  5. Step 5: Solve for x
    x = 2,655,130,941.54/78,075
  6. Step 6: Final answer
    x = 34,007.44

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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.