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Finding the Fourth Proportional to 76,874.80, 115,312.20 and 61,322.80

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Solution

The fourth proportional to 76,874.80, 115,312.20 and 61,322.80 is: 91,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,874.80 : 115,312.20 = 61,322.80 : x
  2. Step 2: Convert to fraction form
    76,874.80/115,312.20 = 61,322.80/x
  3. Step 3: Cross multiply
    76,874.80x = 115,312.20 × 61,322.80
  4. Step 4: Simplify right side
    76,874.80x = 7,071,266,978.16
  5. Step 5: Solve for x
    x = 7,071,266,978.16/76,874.80
  6. Step 6: Final answer
    x = 91,984.20

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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.