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Finding the Fourth Proportional to 74,296.25, 102,530.63 and 40,762.25

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Solution

The fourth proportional to 74,296.25, 102,530.63 and 40,762.25 is: 56,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,296.25 : 102,530.63 = 40,762.25 : x
  2. Step 2: Convert to fraction form
    74,296.25/102,530.63 = 40,762.25/x
  3. Step 3: Cross multiply
    74,296.25x = 102,530.63 × 40,762.25
  4. Step 4: Simplify right side
    74,296.25x = 4,179,379,172.72
  5. Step 5: Solve for x
    x = 4,179,379,172.72/74,296.25
  6. Step 6: Final answer
    x = 56,252.90

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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.