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Finding the Fourth Proportional to 74,390.08, 102,658.24 and 40,856

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Solution

The fourth proportional to 74,390.08, 102,658.24 and 40,856 is: 56,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,390.08 : 102,658.24 = 40,856 : x
  2. Step 2: Convert to fraction form
    74,390.08/102,658.24 = 40,856/x
  3. Step 3: Cross multiply
    74,390.08x = 102,658.24 × 40,856
  4. Step 4: Simplify right side
    74,390.08x = 4,194,205,053.44
  5. Step 5: Solve for x
    x = 4,194,205,053.44/74,390.08
  6. Step 6: Final answer
    x = 56,381.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.