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Finding the Fourth Proportional to 98,058.56, 146,948.77 and 41,071.06

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Solution

The fourth proportional to 98,058.56, 146,948.77 and 41,071.06 is: 61,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,058.56 : 146,948.77 = 41,071.06 : x
  2. Step 2: Convert to fraction form
    98,058.56/146,948.77 = 41,071.06/x
  3. Step 3: Cross multiply
    98,058.56x = 146,948.77 × 41,071.06
  4. Step 4: Simplify right side
    98,058.56x = 6,035,341,749.60
  5. Step 5: Solve for x
    x = 6,035,341,749.60/98,058.56
  6. Step 6: Final answer
    x = 61,548.34

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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.