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Finding the Fourth Proportional to 97,856.37, 134,992.40 and 57,544.47

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Solution

The fourth proportional to 97,856.37, 134,992.40 and 57,544.47 is: 79,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,856.37 : 134,992.40 = 57,544.47 : x
  2. Step 2: Convert to fraction form
    97,856.37/134,992.40 = 57,544.47/x
  3. Step 3: Cross multiply
    97,856.37x = 134,992.40 × 57,544.47
  4. Step 4: Simplify right side
    97,856.37x = 7,768,065,824.31
  5. Step 5: Solve for x
    x = 7,768,065,824.31/97,856.37
  6. Step 6: Final answer
    x = 79,382.32

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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.