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Finding the Fourth Proportional to 94,009, 141,019.26 and 28,345

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Solution

The fourth proportional to 94,009, 141,019.26 and 28,345 is: 42,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,009 : 141,019.26 = 28,345 : x
  2. Step 2: Convert to fraction form
    94,009/141,019.26 = 28,345/x
  3. Step 3: Cross multiply
    94,009x = 141,019.26 × 28,345
  4. Step 4: Simplify right side
    94,009x = 3,997,190,924.70
  5. Step 5: Solve for x
    x = 3,997,190,924.70/94,009
  6. Step 6: Final answer
    x = 42,519.24

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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.