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Finding the Fourth Proportional to 94,409.52, 141,658 and 50,057.16

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Solution

The fourth proportional to 94,409.52, 141,658 and 50,057.16 is: 75,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,409.52 : 141,658 = 50,057.16 : x
  2. Step 2: Convert to fraction form
    94,409.52/141,658 = 50,057.16/x
  3. Step 3: Cross multiply
    94,409.52x = 141,658 × 50,057.16
  4. Step 4: Simplify right side
    94,409.52x = 7,090,997,171.28
  5. Step 5: Solve for x
    x = 7,090,997,171.28/94,409.52
  6. Step 6: Final answer
    x = 75,108.92

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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.