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Finding the Fourth Proportional to 94,138.50, 141,225.15 and 30,962.10

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Solution

The fourth proportional to 94,138.50, 141,225.15 and 30,962.10 is: 46,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,138.50 : 141,225.15 = 30,962.10 : x
  2. Step 2: Convert to fraction form
    94,138.50/141,225.15 = 30,962.10/x
  3. Step 3: Cross multiply
    94,138.50x = 141,225.15 × 30,962.10
  4. Step 4: Simplify right side
    94,138.50x = 4,372,627,216.82
  5. Step 5: Solve for x
    x = 4,372,627,216.82/94,138.50
  6. Step 6: Final answer
    x = 46,448.87

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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.