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Finding the Fourth Proportional to 46,057, 69,108.54 and 21,097

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Solution

The fourth proportional to 46,057, 69,108.54 and 21,097 is: 31,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,057 : 69,108.54 = 21,097 : x
  2. Step 2: Convert to fraction form
    46,057/69,108.54 = 21,097/x
  3. Step 3: Cross multiply
    46,057x = 69,108.54 × 21,097
  4. Step 4: Simplify right side
    46,057x = 1,457,982,868.38
  5. Step 5: Solve for x
    x = 1,457,982,868.38/46,057
  6. Step 6: Final answer
    x = 31,656.05

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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.