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Finding the Fourth Proportional to 114,051, 170,984.22 and 47,541.24

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Solution

The fourth proportional to 114,051, 170,984.22 and 47,541.24 is: 71,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051 : 170,984.22 = 47,541.24 : x
  2. Step 2: Convert to fraction form
    114,051/170,984.22 = 47,541.24/x
  3. Step 3: Cross multiply
    114,051x = 170,984.22 × 47,541.24
  4. Step 4: Simplify right side
    114,051x = 8,128,801,839.23
  5. Step 5: Solve for x
    x = 8,128,801,839.23/114,051
  6. Step 6: Final answer
    x = 71,273.39

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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.