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Finding the Fourth Proportional to 76,113.06, 105,033.44 and 42,123

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Solution

The fourth proportional to 76,113.06, 105,033.44 and 42,123 is: 58,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,113.06 : 105,033.44 = 42,123 : x
  2. Step 2: Convert to fraction form
    76,113.06/105,033.44 = 42,123/x
  3. Step 3: Cross multiply
    76,113.06x = 105,033.44 × 42,123
  4. Step 4: Simplify right side
    76,113.06x = 4,424,323,593.12
  5. Step 5: Solve for x
    x = 4,424,323,593.12/76,113.06
  6. Step 6: Final answer
    x = 58,128.31

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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.