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Finding the Fourth Proportional to 105,142.70, 157,569.33 and 46,027.82

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Solution

The fourth proportional to 105,142.70, 157,569.33 and 46,027.82 is: 68,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,142.70 : 157,569.33 = 46,027.82 : x
  2. Step 2: Convert to fraction form
    105,142.70/157,569.33 = 46,027.82/x
  3. Step 3: Cross multiply
    105,142.70x = 157,569.33 × 46,027.82
  4. Step 4: Simplify right side
    105,142.70x = 7,252,572,758.76
  5. Step 5: Solve for x
    x = 7,252,572,758.76/105,142.70
  6. Step 6: Final answer
    x = 68,978.38

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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.