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Finding the Fourth Proportional to 76,129.14, 105,055.52 and 42,137.69

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Solution

The fourth proportional to 76,129.14, 105,055.52 and 42,137.69 is: 58,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,129.14 : 105,055.52 = 42,137.69 : x
  2. Step 2: Convert to fraction form
    76,129.14/105,055.52 = 42,137.69/x
  3. Step 3: Cross multiply
    76,129.14x = 105,055.52 × 42,137.69
  4. Step 4: Simplify right side
    76,129.14x = 4,426,797,302.53
  5. Step 5: Solve for x
    x = 4,426,797,302.53/76,129.14
  6. Step 6: Final answer
    x = 58,148.53

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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.