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Finding the Fourth Proportional to 70,907.54, 106,385.81 and 31,492.26

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Solution

The fourth proportional to 70,907.54, 106,385.81 and 31,492.26 is: 47,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.54 : 106,385.81 = 31,492.26 : x
  2. Step 2: Convert to fraction form
    70,907.54/106,385.81 = 31,492.26/x
  3. Step 3: Cross multiply
    70,907.54x = 106,385.81 × 31,492.26
  4. Step 4: Simplify right side
    70,907.54x = 3,350,329,431.37
  5. Step 5: Solve for x
    x = 3,350,329,431.37/70,907.54
  6. Step 6: Final answer
    x = 47,249.27

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1.5x scale

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.