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Finding the Fourth Proportional to 76,795.80, 105,986.79 and 42,807.39

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Solution

The fourth proportional to 76,795.80, 105,986.79 and 42,807.39 is: 59,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,795.80 : 105,986.79 = 42,807.39 : x
  2. Step 2: Convert to fraction form
    76,795.80/105,986.79 = 42,807.39/x
  3. Step 3: Cross multiply
    76,795.80x = 105,986.79 × 42,807.39
  4. Step 4: Simplify right side
    76,795.80x = 4,537,017,854.38
  5. Step 5: Solve for x
    x = 4,537,017,854.38/76,795.80
  6. Step 6: Final answer
    x = 59,078.98

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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.