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Finding the Fourth Proportional to 51,833.51, 71,530.24 and 29,477.51

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Solution

The fourth proportional to 51,833.51, 71,530.24 and 29,477.51 is: 40,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,833.51 : 71,530.24 = 29,477.51 : x
  2. Step 2: Convert to fraction form
    51,833.51/71,530.24 = 29,477.51/x
  3. Step 3: Cross multiply
    51,833.51x = 71,530.24 × 29,477.51
  4. Step 4: Simplify right side
    51,833.51x = 2,108,533,217.51
  5. Step 5: Solve for x
    x = 2,108,533,217.51/51,833.51
  6. Step 6: Final answer
    x = 40,678.96

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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.