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Finding the Fourth Proportional to 102,504.98, 153,825.88 and 35,945.06

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Solution

The fourth proportional to 102,504.98, 153,825.88 and 35,945.06 is: 53,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504.98 : 153,825.88 = 35,945.06 : x
  2. Step 2: Convert to fraction form
    102,504.98/153,825.88 = 35,945.06/x
  3. Step 3: Cross multiply
    102,504.98x = 153,825.88 × 35,945.06
  4. Step 4: Simplify right side
    102,504.98x = 5,529,280,486.15
  5. Step 5: Solve for x
    x = 5,529,280,486.15/102,504.98
  6. Step 6: Final answer
    x = 53,941.58

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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.