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Finding the Fourth Proportional to 74,136.72, 102,310.38 and 42,308.58

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Solution

The fourth proportional to 74,136.72, 102,310.38 and 42,308.58 is: 58,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,136.72 : 102,310.38 = 42,308.58 : x
  2. Step 2: Convert to fraction form
    74,136.72/102,310.38 = 42,308.58/x
  3. Step 3: Cross multiply
    74,136.72x = 102,310.38 × 42,308.58
  4. Step 4: Simplify right side
    74,136.72x = 4,328,606,897.06
  5. Step 5: Solve for x
    x = 4,328,606,897.06/74,136.72
  6. Step 6: Final answer
    x = 58,386.81

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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.