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Finding the Fourth Proportional to 76,802.16, 105,989.23 and 44,968.08

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Solution

The fourth proportional to 76,802.16, 105,989.23 and 44,968.08 is: 62,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.16 : 105,989.23 = 44,968.08 : x
  2. Step 2: Convert to fraction form
    76,802.16/105,989.23 = 44,968.08/x
  3. Step 3: Cross multiply
    76,802.16x = 105,989.23 × 44,968.08
  4. Step 4: Simplify right side
    76,802.16x = 4,766,131,948.94
  5. Step 5: Solve for x
    x = 4,766,131,948.94/76,802.16
  6. Step 6: Final answer
    x = 62,057.26

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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.