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Finding the Fourth Proportional to 78,076.96, 107,746.44 and 42,266.88

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Solution

The fourth proportional to 78,076.96, 107,746.44 and 42,266.88 is: 58,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.96 : 107,746.44 = 42,266.88 : x
  2. Step 2: Convert to fraction form
    78,076.96/107,746.44 = 42,266.88/x
  3. Step 3: Cross multiply
    78,076.96x = 107,746.44 × 42,266.88
  4. Step 4: Simplify right side
    78,076.96x = 4,554,105,638.57
  5. Step 5: Solve for x
    x = 4,554,105,638.57/78,076.96
  6. Step 6: Final answer
    x = 58,328.42

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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.