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Finding the Fourth Proportional to 74,146.68, 102,283.98 and 45,473.16

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Solution

The fourth proportional to 74,146.68, 102,283.98 and 45,473.16 is: 62,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146.68 : 102,283.98 = 45,473.16 : x
  2. Step 2: Convert to fraction form
    74,146.68/102,283.98 = 45,473.16/x
  3. Step 3: Cross multiply
    74,146.68x = 102,283.98 × 45,473.16
  4. Step 4: Simplify right side
    74,146.68x = 4,651,175,787.98
  5. Step 5: Solve for x
    x = 4,651,175,787.98/74,146.68
  6. Step 6: Final answer
    x = 62,729.39

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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.