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Finding the Fourth Proportional to 97,342.99, 146,040.42 and 30,784.34

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Solution

The fourth proportional to 97,342.99, 146,040.42 and 30,784.34 is: 46,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342.99 : 146,040.42 = 30,784.34 : x
  2. Step 2: Convert to fraction form
    97,342.99/146,040.42 = 30,784.34/x
  3. Step 3: Cross multiply
    97,342.99x = 146,040.42 × 30,784.34
  4. Step 4: Simplify right side
    97,342.99x = 4,495,757,943.02
  5. Step 5: Solve for x
    x = 4,495,757,943.02/97,342.99
  6. Step 6: Final answer
    x = 46,184.71

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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.