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Finding the Fourth Proportional to 97,455.96, 146,191.50 and 30,899.88

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Solution

The fourth proportional to 97,455.96, 146,191.50 and 30,899.88 is: 46,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,455.96 : 146,191.50 = 30,899.88 : x
  2. Step 2: Convert to fraction form
    97,455.96/146,191.50 = 30,899.88/x
  3. Step 3: Cross multiply
    97,455.96x = 146,191.50 × 30,899.88
  4. Step 4: Simplify right side
    97,455.96x = 4,517,299,807.02
  5. Step 5: Solve for x
    x = 4,517,299,807.02/97,455.96
  6. Step 6: Final answer
    x = 46,352.22

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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.