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Finding the Fourth Proportional to 54,423.95, 81,558.04 and 31,001.99

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Solution

The fourth proportional to 54,423.95, 81,558.04 and 31,001.99 is: 46,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,423.95 : 81,558.04 = 31,001.99 : x
  2. Step 2: Convert to fraction form
    54,423.95/81,558.04 = 31,001.99/x
  3. Step 3: Cross multiply
    54,423.95x = 81,558.04 × 31,001.99
  4. Step 4: Simplify right side
    54,423.95x = 2,528,461,540.50
  5. Step 5: Solve for x
    x = 2,528,461,540.50/54,423.95
  6. Step 6: Final answer
    x = 46,458.62

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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.