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Finding the Fourth Proportional to 76,796.80, 105,988.17 and 42,808.39

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Solution

The fourth proportional to 76,796.80, 105,988.17 and 42,808.39 is: 59,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,796.80 : 105,988.17 = 42,808.39 : x
  2. Step 2: Convert to fraction form
    76,796.80/105,988.17 = 42,808.39/x
  3. Step 3: Cross multiply
    76,796.80x = 105,988.17 × 42,808.39
  4. Step 4: Simplify right side
    76,796.80x = 4,537,182,916.75
  5. Step 5: Solve for x
    x = 4,537,182,916.75/76,796.80
  6. Step 6: Final answer
    x = 59,080.36

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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.