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Finding the Fourth Proportional to 54,345.30, 74,978.58 and 32,826.99

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Solution

The fourth proportional to 54,345.30, 74,978.58 and 32,826.99 is: 45,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345.30 : 74,978.58 = 32,826.99 : x
  2. Step 2: Convert to fraction form
    54,345.30/74,978.58 = 32,826.99/x
  3. Step 3: Cross multiply
    54,345.30x = 74,978.58 × 32,826.99
  4. Step 4: Simplify right side
    54,345.30x = 2,461,321,095.87
  5. Step 5: Solve for x
    x = 2,461,321,095.87/54,345.30
  6. Step 6: Final answer
    x = 45,290.41

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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.