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Finding the Fourth Proportional to 74,166.84, 102,369.42 and 45,496.08

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Solution

The fourth proportional to 74,166.84, 102,369.42 and 45,496.08 is: 62,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,166.84 : 102,369.42 = 45,496.08 : x
  2. Step 2: Convert to fraction form
    74,166.84/102,369.42 = 45,496.08/x
  3. Step 3: Cross multiply
    74,166.84x = 102,369.42 × 45,496.08
  4. Step 4: Simplify right side
    74,166.84x = 4,657,407,321.87
  5. Step 5: Solve for x
    x = 4,657,407,321.87/74,166.84
  6. Step 6: Final answer
    x = 62,796.36

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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.