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Finding the Fourth Proportional to 76,412.32, 105,449.42 and 42,420.26

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Solution

The fourth proportional to 76,412.32, 105,449.42 and 42,420.26 is: 58,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.32 : 105,449.42 = 42,420.26 : x
  2. Step 2: Convert to fraction form
    76,412.32/105,449.42 = 42,420.26/x
  3. Step 3: Cross multiply
    76,412.32x = 105,449.42 × 42,420.26
  4. Step 4: Simplify right side
    76,412.32x = 4,473,192,182.92
  5. Step 5: Solve for x
    x = 4,473,192,182.92/76,412.32
  6. Step 6: Final answer
    x = 58,540.20

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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.