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Finding the Fourth Proportional to 82,488, 113,862.96 and 48,954

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Solution

The fourth proportional to 82,488, 113,862.96 and 48,954 is: 67,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,488 : 113,862.96 = 48,954 : x
  2. Step 2: Convert to fraction form
    82,488/113,862.96 = 48,954/x
  3. Step 3: Cross multiply
    82,488x = 113,862.96 × 48,954
  4. Step 4: Simplify right side
    82,488x = 5,574,047,343.84
  5. Step 5: Solve for x
    x = 5,574,047,343.84/82,488
  6. Step 6: Final answer
    x = 67,574.04

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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.