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Finding the Fourth Proportional to 76,802.98, 105,975.92 and 43,262.50

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Solution

The fourth proportional to 76,802.98, 105,975.92 and 43,262.50 is: 59,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.98 : 105,975.92 = 43,262.50 : x
  2. Step 2: Convert to fraction form
    76,802.98/105,975.92 = 43,262.50/x
  3. Step 3: Cross multiply
    76,802.98x = 105,975.92 × 43,262.50
  4. Step 4: Simplify right side
    76,802.98x = 4,584,783,239
  5. Step 5: Solve for x
    x = 4,584,783,239/76,802.98
  6. Step 6: Final answer
    x = 59,695.38

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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.