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Finding the Fourth Proportional to 76,335.39, 105,344.53 and 42,342.77

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Solution

The fourth proportional to 76,335.39, 105,344.53 and 42,342.77 is: 58,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,335.39 : 105,344.53 = 42,342.77 : x
  2. Step 2: Convert to fraction form
    76,335.39/105,344.53 = 42,342.77/x
  3. Step 3: Cross multiply
    76,335.39x = 105,344.53 × 42,342.77
  4. Step 4: Simplify right side
    76,335.39x = 4,460,579,652.52
  5. Step 5: Solve for x
    x = 4,460,579,652.52/76,335.39
  6. Step 6: Final answer
    x = 58,433.97

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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.