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Finding the Fourth Proportional to 71,656.20, 107,532.90 and 46,635.30

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Solution

The fourth proportional to 71,656.20, 107,532.90 and 46,635.30 is: 69,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656.20 : 107,532.90 = 46,635.30 : x
  2. Step 2: Convert to fraction form
    71,656.20/107,532.90 = 46,635.30/x
  3. Step 3: Cross multiply
    71,656.20x = 107,532.90 × 46,635.30
  4. Step 4: Simplify right side
    71,656.20x = 5,014,829,051.37
  5. Step 5: Solve for x
    x = 5,014,829,051.37/71,656.20
  6. Step 6: Final answer
    x = 69,984.58

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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.