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Finding the Fourth Proportional to 31,812.70, 47,719.05 and 24,814.30

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Solution

The fourth proportional to 31,812.70, 47,719.05 and 24,814.30 is: 37,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.70 : 47,719.05 = 24,814.30 : x
  2. Step 2: Convert to fraction form
    31,812.70/47,719.05 = 24,814.30/x
  3. Step 3: Cross multiply
    31,812.70x = 47,719.05 × 24,814.30
  4. Step 4: Simplify right side
    31,812.70x = 1,184,114,822.42
  5. Step 5: Solve for x
    x = 1,184,114,822.42/31,812.70
  6. Step 6: Final answer
    x = 37,221.45

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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.