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Finding the Fourth Proportional to 106,706.55, 160,067.93 and 31,820.84

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Solution

The fourth proportional to 106,706.55, 160,067.93 and 31,820.84 is: 47,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,706.55 : 160,067.93 = 31,820.84 : x
  2. Step 2: Convert to fraction form
    106,706.55/160,067.93 = 31,820.84/x
  3. Step 3: Cross multiply
    106,706.55x = 160,067.93 × 31,820.84
  4. Step 4: Simplify right side
    106,706.55x = 5,093,495,030.22
  5. Step 5: Solve for x
    x = 5,093,495,030.22/106,706.55
  6. Step 6: Final answer
    x = 47,733.67

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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.