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Finding the Fourth Proportional to 76,327.76, 105,323.44 and 42,328

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Solution

The fourth proportional to 76,327.76, 105,323.44 and 42,328 is: 58,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,327.76 : 105,323.44 = 42,328 : x
  2. Step 2: Convert to fraction form
    76,327.76/105,323.44 = 42,328/x
  3. Step 3: Cross multiply
    76,327.76x = 105,323.44 × 42,328
  4. Step 4: Simplify right side
    76,327.76x = 4,458,130,568.32
  5. Step 5: Solve for x
    x = 4,458,130,568.32/76,327.76
  6. Step 6: Final answer
    x = 58,407.72

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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.