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Finding the Fourth Proportional to 78,316.34, 108,076.63 and 42,506.37

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Solution

The fourth proportional to 78,316.34, 108,076.63 and 42,506.37 is: 58,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316.34 : 108,076.63 = 42,506.37 : x
  2. Step 2: Convert to fraction form
    78,316.34/108,076.63 = 42,506.37/x
  3. Step 3: Cross multiply
    78,316.34x = 108,076.63 × 42,506.37
  4. Step 4: Simplify right side
    78,316.34x = 4,593,945,196.57
  5. Step 5: Solve for x
    x = 4,593,945,196.57/78,316.34
  6. Step 6: Final answer
    x = 58,658.84

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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.