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Finding the Fourth Proportional to 85,823.80, 128,735.70 and 57,830.20

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Solution

The fourth proportional to 85,823.80, 128,735.70 and 57,830.20 is: 86,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823.80 : 128,735.70 = 57,830.20 : x
  2. Step 2: Convert to fraction form
    85,823.80/128,735.70 = 57,830.20/x
  3. Step 3: Cross multiply
    85,823.80x = 128,735.70 × 57,830.20
  4. Step 4: Simplify right side
    85,823.80x = 7,444,811,278.14
  5. Step 5: Solve for x
    x = 7,444,811,278.14/85,823.80
  6. Step 6: Final answer
    x = 86,745.30

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1.5x scale

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.