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Finding the Fourth Proportional to 78,522, 108,360.36 and 43,194

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Solution

The fourth proportional to 78,522, 108,360.36 and 43,194 is: 59,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,522 : 108,360.36 = 43,194 : x
  2. Step 2: Convert to fraction form
    78,522/108,360.36 = 43,194/x
  3. Step 3: Cross multiply
    78,522x = 108,360.36 × 43,194
  4. Step 4: Simplify right side
    78,522x = 4,680,517,389.84
  5. Step 5: Solve for x
    x = 4,680,517,389.84/78,522
  6. Step 6: Final answer
    x = 59,607.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.