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Finding the Fourth Proportional to 106,830, 160,247.16 and 32,958

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Solution

The fourth proportional to 106,830, 160,247.16 and 32,958 is: 49,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,830 : 160,247.16 = 32,958 : x
  2. Step 2: Convert to fraction form
    106,830/160,247.16 = 32,958/x
  3. Step 3: Cross multiply
    106,830x = 160,247.16 × 32,958
  4. Step 4: Simplify right side
    106,830x = 5,281,425,899.28
  5. Step 5: Solve for x
    x = 5,281,425,899.28/106,830
  6. Step 6: Final answer
    x = 49,437.67

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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.