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Finding the Fourth Proportional to 114,358.05, 171,505.98 and 47,784.24

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Solution

The fourth proportional to 114,358.05, 171,505.98 and 47,784.24 is: 71,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,358.05 : 171,505.98 = 47,784.24 : x
  2. Step 2: Convert to fraction form
    114,358.05/171,505.98 = 47,784.24/x
  3. Step 3: Cross multiply
    114,358.05x = 171,505.98 × 47,784.24
  4. Step 4: Simplify right side
    114,358.05x = 8,195,282,909.76
  5. Step 5: Solve for x
    x = 8,195,282,909.76/114,358.05
  6. Step 6: Final answer
    x = 71,663.37

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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.