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Finding the Fourth Proportional to 76,254.72, 114,320.64 and 32,509.44

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Solution

The fourth proportional to 76,254.72, 114,320.64 and 32,509.44 is: 48,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254.72 : 114,320.64 = 32,509.44 : x
  2. Step 2: Convert to fraction form
    76,254.72/114,320.64 = 32,509.44/x
  3. Step 3: Cross multiply
    76,254.72x = 114,320.64 × 32,509.44
  4. Step 4: Simplify right side
    76,254.72x = 3,716,499,986.84
  5. Step 5: Solve for x
    x = 3,716,499,986.84/76,254.72
  6. Step 6: Final answer
    x = 48,737.97

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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.