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Finding the Fourth Proportional to 74,826.86, 103,228.47 and 49,300.47

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Solution

The fourth proportional to 74,826.86, 103,228.47 and 49,300.47 is: 68,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826.86 : 103,228.47 = 49,300.47 : x
  2. Step 2: Convert to fraction form
    74,826.86/103,228.47 = 49,300.47/x
  3. Step 3: Cross multiply
    74,826.86x = 103,228.47 × 49,300.47
  4. Step 4: Simplify right side
    74,826.86x = 5,089,212,088.38
  5. Step 5: Solve for x
    x = 5,089,212,088.38/74,826.86
  6. Step 6: Final answer
    x = 68,013.18

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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.