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Finding the Fourth Proportional to 54,905.30, 82,309.35 and 49,000.40

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Solution

The fourth proportional to 54,905.30, 82,309.35 and 49,000.40 is: 73,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905.30 : 82,309.35 = 49,000.40 : x
  2. Step 2: Convert to fraction form
    54,905.30/82,309.35 = 49,000.40/x
  3. Step 3: Cross multiply
    54,905.30x = 82,309.35 × 49,000.40
  4. Step 4: Simplify right side
    54,905.30x = 4,033,191,073.74
  5. Step 5: Solve for x
    x = 4,033,191,073.74/54,905.30
  6. Step 6: Final answer
    x = 73,457.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.