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Finding the Fourth Proportional to 48,538.58, 66,978.50 and 27,317.39

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Solution

The fourth proportional to 48,538.58, 66,978.50 and 27,317.39 is: 37,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,538.58 : 66,978.50 = 27,317.39 : x
  2. Step 2: Convert to fraction form
    48,538.58/66,978.50 = 27,317.39/x
  3. Step 3: Cross multiply
    48,538.58x = 66,978.50 × 27,317.39
  4. Step 4: Simplify right side
    48,538.58x = 1,829,677,334.64
  5. Step 5: Solve for x
    x = 1,829,677,334.64/48,538.58
  6. Step 6: Final answer
    x = 37,695.32

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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.