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Finding the Fourth Proportional to 82,698.48, 114,124.68 and 49,158

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Solution

The fourth proportional to 82,698.48, 114,124.68 and 49,158 is: 67,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,698.48 : 114,124.68 = 49,158 : x
  2. Step 2: Convert to fraction form
    82,698.48/114,124.68 = 49,158/x
  3. Step 3: Cross multiply
    82,698.48x = 114,124.68 × 49,158
  4. Step 4: Simplify right side
    82,698.48x = 5,610,141,019.44
  5. Step 5: Solve for x
    x = 5,610,141,019.44/82,698.48
  6. Step 6: Final answer
    x = 67,838.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.