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Finding the Fourth Proportional to 54,969.84, 82,434.87 and 23,382

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Solution

The fourth proportional to 54,969.84, 82,434.87 and 23,382 is: 35,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969.84 : 82,434.87 = 23,382 : x
  2. Step 2: Convert to fraction form
    54,969.84/82,434.87 = 23,382/x
  3. Step 3: Cross multiply
    54,969.84x = 82,434.87 × 23,382
  4. Step 4: Simplify right side
    54,969.84x = 1,927,492,130.34
  5. Step 5: Solve for x
    x = 1,927,492,130.34/54,969.84
  6. Step 6: Final answer
    x = 35,064.54

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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.