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Finding the Fourth Proportional to 102,580.83, 153,858.69 and 27,695.25

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Solution

The fourth proportional to 102,580.83, 153,858.69 and 27,695.25 is: 41,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580.83 : 153,858.69 = 27,695.25 : x
  2. Step 2: Convert to fraction form
    102,580.83/153,858.69 = 27,695.25/x
  3. Step 3: Cross multiply
    102,580.83x = 153,858.69 × 27,695.25
  4. Step 4: Simplify right side
    102,580.83x = 4,261,154,884.22
  5. Step 5: Solve for x
    x = 4,261,154,884.22/102,580.83
  6. Step 6: Final answer
    x = 41,539.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.