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Finding the Fourth Proportional to 85,415.80, 128,085.30 and 32,807.80

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Solution

The fourth proportional to 85,415.80, 128,085.30 and 32,807.80 is: 49,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,415.80 : 128,085.30 = 32,807.80 : x
  2. Step 2: Convert to fraction form
    85,415.80/128,085.30 = 32,807.80/x
  3. Step 3: Cross multiply
    85,415.80x = 128,085.30 × 32,807.80
  4. Step 4: Simplify right side
    85,415.80x = 4,202,196,905.34
  5. Step 5: Solve for x
    x = 4,202,196,905.34/85,415.80
  6. Step 6: Final answer
    x = 49,196.95

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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.