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Finding the Fourth Proportional to 78,551.46, 108,400.53 and 42,741.60

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Solution

The fourth proportional to 78,551.46, 108,400.53 and 42,741.60 is: 58,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,551.46 : 108,400.53 = 42,741.60 : x
  2. Step 2: Convert to fraction form
    78,551.46/108,400.53 = 42,741.60/x
  3. Step 3: Cross multiply
    78,551.46x = 108,400.53 × 42,741.60
  4. Step 4: Simplify right side
    78,551.46x = 4,633,212,093.05
  5. Step 5: Solve for x
    x = 4,633,212,093.05/78,551.46
  6. Step 6: Final answer
    x = 58,983.14

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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.