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Finding the Fourth Proportional to 111,925, 167,887.50 and 38,053

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Solution

The fourth proportional to 111,925, 167,887.50 and 38,053 is: 57,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,925 : 167,887.50 = 38,053 : x
  2. Step 2: Convert to fraction form
    111,925/167,887.50 = 38,053/x
  3. Step 3: Cross multiply
    111,925x = 167,887.50 × 38,053
  4. Step 4: Simplify right side
    111,925x = 6,388,623,037.50
  5. Step 5: Solve for x
    x = 6,388,623,037.50/111,925
  6. Step 6: Final answer
    x = 57,079.50

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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.