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Finding the Fourth Proportional to 76,079.36, 114,075.84 and 63,676.64

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Solution

The fourth proportional to 76,079.36, 114,075.84 and 63,676.64 is: 95,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,079.36 : 114,075.84 = 63,676.64 : x
  2. Step 2: Convert to fraction form
    76,079.36/114,075.84 = 63,676.64/x
  3. Step 3: Cross multiply
    76,079.36x = 114,075.84 × 63,676.64
  4. Step 4: Simplify right side
    76,079.36x = 7,263,966,196.38
  5. Step 5: Solve for x
    x = 7,263,966,196.38/76,079.36
  6. Step 6: Final answer
    x = 95,478.80

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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.