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Finding the Fourth Proportional to 82,434.50, 123,624.30 and 32,501.60

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Solution

The fourth proportional to 82,434.50, 123,624.30 and 32,501.60 is: 48,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,434.50 : 123,624.30 = 32,501.60 : x
  2. Step 2: Convert to fraction form
    82,434.50/123,624.30 = 32,501.60/x
  3. Step 3: Cross multiply
    82,434.50x = 123,624.30 × 32,501.60
  4. Step 4: Simplify right side
    82,434.50x = 4,017,987,548.88
  5. Step 5: Solve for x
    x = 4,017,987,548.88/82,434.50
  6. Step 6: Final answer
    x = 48,741.58

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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.