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Finding the Fourth Proportional to 78,076.94, 107,746.22 and 42,266.95

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Solution

The fourth proportional to 78,076.94, 107,746.22 and 42,266.95 is: 58,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.94 : 107,746.22 = 42,266.95 : x
  2. Step 2: Convert to fraction form
    78,076.94/107,746.22 = 42,266.95/x
  3. Step 3: Cross multiply
    78,076.94x = 107,746.22 × 42,266.95
  4. Step 4: Simplify right side
    78,076.94x = 4,554,104,298.05
  5. Step 5: Solve for x
    x = 4,554,104,298.05/78,076.94
  6. Step 6: Final answer
    x = 58,328.41

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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.