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Finding the Fourth Proportional to 85,228.80, 127,900.80 and 47,788.80

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Solution

The fourth proportional to 85,228.80, 127,900.80 and 47,788.80 is: 71,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,228.80 : 127,900.80 = 47,788.80 : x
  2. Step 2: Convert to fraction form
    85,228.80/127,900.80 = 47,788.80/x
  3. Step 3: Cross multiply
    85,228.80x = 127,900.80 × 47,788.80
  4. Step 4: Simplify right side
    85,228.80x = 6,112,225,751.04
  5. Step 5: Solve for x
    x = 6,112,225,751.04/85,228.80
  6. Step 6: Final answer
    x = 71,715.50

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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.