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Finding the Fourth Proportional to 57,185.76, 85,762.24 and 19,736.12

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Solution

The fourth proportional to 57,185.76, 85,762.24 and 19,736.12 is: 29,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,185.76 : 85,762.24 = 19,736.12 : x
  2. Step 2: Convert to fraction form
    57,185.76/85,762.24 = 19,736.12/x
  3. Step 3: Cross multiply
    57,185.76x = 85,762.24 × 19,736.12
  4. Step 4: Simplify right side
    57,185.76x = 1,692,613,860.11
  5. Step 5: Solve for x
    x = 1,692,613,860.11/57,185.76
  6. Step 6: Final answer
    x = 29,598.52

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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.