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Finding the Fourth Proportional to 34,866.54, 52,300.26 and 9,907.20

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Solution

The fourth proportional to 34,866.54, 52,300.26 and 9,907.20 is: 14,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,866.54 : 52,300.26 = 9,907.20 : x
  2. Step 2: Convert to fraction form
    34,866.54/52,300.26 = 9,907.20/x
  3. Step 3: Cross multiply
    34,866.54x = 52,300.26 × 9,907.20
  4. Step 4: Simplify right side
    34,866.54x = 518,149,135.87
  5. Step 5: Solve for x
    x = 518,149,135.87/34,866.54
  6. Step 6: Final answer
    x = 14,860.93

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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.