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Finding the Fourth Proportional to 78,434.40, 108,238.94 and 42,624.41

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Solution

The fourth proportional to 78,434.40, 108,238.94 and 42,624.41 is: 58,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,434.40 : 108,238.94 = 42,624.41 : x
  2. Step 2: Convert to fraction form
    78,434.40/108,238.94 = 42,624.41/x
  3. Step 3: Cross multiply
    78,434.40x = 108,238.94 × 42,624.41
  4. Step 4: Simplify right side
    78,434.40x = 4,613,620,415.33
  5. Step 5: Solve for x
    x = 4,613,620,415.33/78,434.40
  6. Step 6: Final answer
    x = 58,821.39

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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.