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Finding the Fourth Proportional to 82,448.98, 113,779.40 and 44,723.23

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Solution

The fourth proportional to 82,448.98, 113,779.40 and 44,723.23 is: 61,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,448.98 : 113,779.40 = 44,723.23 : x
  2. Step 2: Convert to fraction form
    82,448.98/113,779.40 = 44,723.23/x
  3. Step 3: Cross multiply
    82,448.98x = 113,779.40 × 44,723.23
  4. Step 4: Simplify right side
    82,448.98x = 5,088,582,275.46
  5. Step 5: Solve for x
    x = 5,088,582,275.46/82,448.98
  6. Step 6: Final answer
    x = 61,717.95

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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.