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Finding the Fourth Proportional to 76,187.64, 105,133.68 and 42,193.68

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Solution

The fourth proportional to 76,187.64, 105,133.68 and 42,193.68 is: 58,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.64 : 105,133.68 = 42,193.68 : x
  2. Step 2: Convert to fraction form
    76,187.64/105,133.68 = 42,193.68/x
  3. Step 3: Cross multiply
    76,187.64x = 105,133.68 × 42,193.68
  4. Step 4: Simplify right side
    76,187.64x = 4,435,976,851.14
  5. Step 5: Solve for x
    x = 4,435,976,851.14/76,187.64
  6. Step 6: Final answer
    x = 58,224.36

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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.