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Finding the Fourth Proportional to 74,511.08, 102,823.24 and 40,977.08

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Solution

The fourth proportional to 74,511.08, 102,823.24 and 40,977.08 is: 56,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,511.08 : 102,823.24 = 40,977.08 : x
  2. Step 2: Convert to fraction form
    74,511.08/102,823.24 = 40,977.08/x
  3. Step 3: Cross multiply
    74,511.08x = 102,823.24 × 40,977.08
  4. Step 4: Simplify right side
    74,511.08x = 4,213,396,131.34
  5. Step 5: Solve for x
    x = 4,213,396,131.34/74,511.08
  6. Step 6: Final answer
    x = 56,547.24

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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.