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Finding the Fourth Proportional to 76,335.32, 105,344.42 and 42,342.69

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Solution

The fourth proportional to 76,335.32, 105,344.42 and 42,342.69 is: 58,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,335.32 : 105,344.42 = 42,342.69 : x
  2. Step 2: Convert to fraction form
    76,335.32/105,344.42 = 42,342.69/x
  3. Step 3: Cross multiply
    76,335.32x = 105,344.42 × 42,342.69
  4. Step 4: Simplify right side
    76,335.32x = 4,460,566,488.51
  5. Step 5: Solve for x
    x = 4,460,566,488.51/76,335.32
  6. Step 6: Final answer
    x = 58,433.85

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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.