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Finding the Fourth Proportional to 85,037.84, 117,344.76 and 47,314.16

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Solution

The fourth proportional to 85,037.84, 117,344.76 and 47,314.16 is: 65,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,037.84 : 117,344.76 = 47,314.16 : x
  2. Step 2: Convert to fraction form
    85,037.84/117,344.76 = 47,314.16/x
  3. Step 3: Cross multiply
    85,037.84x = 117,344.76 × 47,314.16
  4. Step 4: Simplify right side
    85,037.84x = 5,552,068,749.80
  5. Step 5: Solve for x
    x = 5,552,068,749.80/85,037.84
  6. Step 6: Final answer
    x = 65,289.39

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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.