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Finding the Fourth Proportional to 51,051.99, 70,441.42 and 29,827.16

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Solution

The fourth proportional to 51,051.99, 70,441.42 and 29,827.16 is: 41,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051.99 : 70,441.42 = 29,827.16 : x
  2. Step 2: Convert to fraction form
    51,051.99/70,441.42 = 29,827.16/x
  3. Step 3: Cross multiply
    51,051.99x = 70,441.42 × 29,827.16
  4. Step 4: Simplify right side
    51,051.99x = 2,101,067,504.97
  5. Step 5: Solve for x
    x = 2,101,067,504.97/51,051.99
  6. Step 6: Final answer
    x = 41,155.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.