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Finding the Fourth Proportional to 31,026.54, 42,802.92 and 18,444

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Solution

The fourth proportional to 31,026.54, 42,802.92 and 18,444 is: 25,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,026.54 : 42,802.92 = 18,444 : x
  2. Step 2: Convert to fraction form
    31,026.54/42,802.92 = 18,444/x
  3. Step 3: Cross multiply
    31,026.54x = 42,802.92 × 18,444
  4. Step 4: Simplify right side
    31,026.54x = 789,457,056.48
  5. Step 5: Solve for x
    x = 789,457,056.48/31,026.54
  6. Step 6: Final answer
    x = 25,444.57

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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.