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Finding the Fourth Proportional to 105,024.30, 157,550.85 and 34,896.30

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Solution

The fourth proportional to 105,024.30, 157,550.85 and 34,896.30 is: 52,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024.30 : 157,550.85 = 34,896.30 : x
  2. Step 2: Convert to fraction form
    105,024.30/157,550.85 = 34,896.30/x
  3. Step 3: Cross multiply
    105,024.30x = 157,550.85 × 34,896.30
  4. Step 4: Simplify right side
    105,024.30x = 5,497,941,726.86
  5. Step 5: Solve for x
    x = 5,497,941,726.86/105,024.30
  6. Step 6: Final answer
    x = 52,349.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.