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Finding the Fourth Proportional to 61,271.40, 91,907.10 and 34,978.80

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Solution

The fourth proportional to 61,271.40, 91,907.10 and 34,978.80 is: 52,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,271.40 : 91,907.10 = 34,978.80 : x
  2. Step 2: Convert to fraction form
    61,271.40/91,907.10 = 34,978.80/x
  3. Step 3: Cross multiply
    61,271.40x = 91,907.10 × 34,978.80
  4. Step 4: Simplify right side
    61,271.40x = 3,214,800,069.48
  5. Step 5: Solve for x
    x = 3,214,800,069.48/61,271.40
  6. Step 6: Final answer
    x = 52,468.20

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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.