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Finding the Fourth Proportional to 76,487.80, 114,731.70 and 53,159.80

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Solution

The fourth proportional to 76,487.80, 114,731.70 and 53,159.80 is: 79,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.80 : 114,731.70 = 53,159.80 : x
  2. Step 2: Convert to fraction form
    76,487.80/114,731.70 = 53,159.80/x
  3. Step 3: Cross multiply
    76,487.80x = 114,731.70 × 53,159.80
  4. Step 4: Simplify right side
    76,487.80x = 6,099,114,225.66
  5. Step 5: Solve for x
    x = 6,099,114,225.66/76,487.80
  6. Step 6: Final answer
    x = 79,739.70

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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.