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Finding the Fourth Proportional to 76,842.64, 115,259.88 and 23,534.60

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Solution

The fourth proportional to 76,842.64, 115,259.88 and 23,534.60 is: 35,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.64 : 115,259.88 = 23,534.60 : x
  2. Step 2: Convert to fraction form
    76,842.64/115,259.88 = 23,534.60/x
  3. Step 3: Cross multiply
    76,842.64x = 115,259.88 × 23,534.60
  4. Step 4: Simplify right side
    76,842.64x = 2,712,595,171.85
  5. Step 5: Solve for x
    x = 2,712,595,171.85/76,842.64
  6. Step 6: Final answer
    x = 35,300.65

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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.