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Finding the Fourth Proportional to 86,833, 119,829.54 and 49,106.44

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Solution

The fourth proportional to 86,833, 119,829.54 and 49,106.44 is: 67,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,833 : 119,829.54 = 49,106.44 : x
  2. Step 2: Convert to fraction form
    86,833/119,829.54 = 49,106.44/x
  3. Step 3: Cross multiply
    86,833x = 119,829.54 × 49,106.44
  4. Step 4: Simplify right side
    86,833x = 5,884,402,116.24
  5. Step 5: Solve for x
    x = 5,884,402,116.24/86,833
  6. Step 6: Final answer
    x = 67,766.89

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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.