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Finding the Fourth Proportional to 76,802.98, 105,994.26 and 42,822.48

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Solution

The fourth proportional to 76,802.98, 105,994.26 and 42,822.48 is: 59,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.98 : 105,994.26 = 42,822.48 : x
  2. Step 2: Convert to fraction form
    76,802.98/105,994.26 = 42,822.48/x
  3. Step 3: Cross multiply
    76,802.98x = 105,994.26 × 42,822.48
  4. Step 4: Simplify right side
    76,802.98x = 4,538,937,078.96
  5. Step 5: Solve for x
    x = 4,538,937,078.96/76,802.98
  6. Step 6: Final answer
    x = 59,098.45

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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.