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Finding the Fourth Proportional to 76,985.70, 106,239.74 and 42,992.16

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Solution

The fourth proportional to 76,985.70, 106,239.74 and 42,992.16 is: 59,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985.70 : 106,239.74 = 42,992.16 : x
  2. Step 2: Convert to fraction form
    76,985.70/106,239.74 = 42,992.16/x
  3. Step 3: Cross multiply
    76,985.70x = 106,239.74 × 42,992.16
  4. Step 4: Simplify right side
    76,985.70x = 4,567,475,685.48
  5. Step 5: Solve for x
    x = 4,567,475,685.48/76,985.70
  6. Step 6: Final answer
    x = 59,328.88

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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.