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Finding the Fourth Proportional to 105,048.78, 157,532.04 and 36,643.05

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Solution

The fourth proportional to 105,048.78, 157,532.04 and 36,643.05 is: 54,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048.78 : 157,532.04 = 36,643.05 : x
  2. Step 2: Convert to fraction form
    105,048.78/157,532.04 = 36,643.05/x
  3. Step 3: Cross multiply
    105,048.78x = 157,532.04 × 36,643.05
  4. Step 4: Simplify right side
    105,048.78x = 5,772,454,418.32
  5. Step 5: Solve for x
    x = 5,772,454,418.32/105,048.78
  6. Step 6: Final answer
    x = 54,950.23

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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.