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Finding the Fourth Proportional to 38,509.78, 57,762.24 and 16,309.30

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Solution

The fourth proportional to 38,509.78, 57,762.24 and 16,309.30 is: 24,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.78 : 57,762.24 = 16,309.30 : x
  2. Step 2: Convert to fraction form
    38,509.78/57,762.24 = 16,309.30/x
  3. Step 3: Cross multiply
    38,509.78x = 57,762.24 × 16,309.30
  4. Step 4: Simplify right side
    38,509.78x = 942,061,700.83
  5. Step 5: Solve for x
    x = 942,061,700.83/38,509.78
  6. Step 6: Final answer
    x = 24,462.92

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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.