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Finding the Fourth Proportional to 111,664, 167,572.80 and 46,000

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Solution

The fourth proportional to 111,664, 167,572.80 and 46,000 is: 69,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,664 : 167,572.80 = 46,000 : x
  2. Step 2: Convert to fraction form
    111,664/167,572.80 = 46,000/x
  3. Step 3: Cross multiply
    111,664x = 167,572.80 × 46,000
  4. Step 4: Simplify right side
    111,664x = 7,708,348,800.00
  5. Step 5: Solve for x
    x = 7,708,348,800.00/111,664
  6. Step 6: Final answer
    x = 69,031.64

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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.