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Finding the Fourth Proportional to 76,259.88, 105,238.44 and 42,268.50

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Solution

The fourth proportional to 76,259.88, 105,238.44 and 42,268.50 is: 58,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,259.88 : 105,238.44 = 42,268.50 : x
  2. Step 2: Convert to fraction form
    76,259.88/105,238.44 = 42,268.50/x
  3. Step 3: Cross multiply
    76,259.88x = 105,238.44 × 42,268.50
  4. Step 4: Simplify right side
    76,259.88x = 4,448,271,001.14
  5. Step 5: Solve for x
    x = 4,448,271,001.14/76,259.88
  6. Step 6: Final answer
    x = 58,330.42

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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.