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Finding the Fourth Proportional to 74,577, 102,917.88 and 41,043

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Solution

The fourth proportional to 74,577, 102,917.88 and 41,043 is: 56,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,577 : 102,917.88 = 41,043 : x
  2. Step 2: Convert to fraction form
    74,577/102,917.88 = 41,043/x
  3. Step 3: Cross multiply
    74,577x = 102,917.88 × 41,043
  4. Step 4: Simplify right side
    74,577x = 4,224,058,548.84
  5. Step 5: Solve for x
    x = 4,224,058,548.84/74,577
  6. Step 6: Final answer
    x = 56,640.23

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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.