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Finding the Fourth Proportional to 71,633.51, 98,848.46 and 41,420.79

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Solution

The fourth proportional to 71,633.51, 98,848.46 and 41,420.79 is: 57,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633.51 : 98,848.46 = 41,420.79 : x
  2. Step 2: Convert to fraction form
    71,633.51/98,848.46 = 41,420.79/x
  3. Step 3: Cross multiply
    71,633.51x = 98,848.46 × 41,420.79
  4. Step 4: Simplify right side
    71,633.51x = 4,094,381,407.04
  5. Step 5: Solve for x
    x = 4,094,381,407.04/71,633.51
  6. Step 6: Final answer
    x = 57,157.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.