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Finding the Fourth Proportional to 106,058.58, 158,873.04 and 49,051.50

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Solution

The fourth proportional to 106,058.58, 158,873.04 and 49,051.50 is: 73,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,058.58 : 158,873.04 = 49,051.50 : x
  2. Step 2: Convert to fraction form
    106,058.58/158,873.04 = 49,051.50/x
  3. Step 3: Cross multiply
    106,058.58x = 158,873.04 × 49,051.50
  4. Step 4: Simplify right side
    106,058.58x = 7,792,960,921.56
  5. Step 5: Solve for x
    x = 7,792,960,921.56/106,058.58
  6. Step 6: Final answer
    x = 73,477.89

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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.