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Finding the Fourth Proportional to 76,945.60, 115,504.80 and 59,492.80

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Solution

The fourth proportional to 76,945.60, 115,504.80 and 59,492.80 is: 89,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,945.60 : 115,504.80 = 59,492.80 : x
  2. Step 2: Convert to fraction form
    76,945.60/115,504.80 = 59,492.80/x
  3. Step 3: Cross multiply
    76,945.60x = 115,504.80 × 59,492.80
  4. Step 4: Simplify right side
    76,945.60x = 6,871,703,965.44
  5. Step 5: Solve for x
    x = 6,871,703,965.44/76,945.60
  6. Step 6: Final answer
    x = 89,306.00

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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.