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Finding the Fourth Proportional to 51,774.47, 71,472.83 and 39,032.81

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Solution

The fourth proportional to 51,774.47, 71,472.83 and 39,032.81 is: 53,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.47 : 71,472.83 = 39,032.81 : x
  2. Step 2: Convert to fraction form
    51,774.47/71,472.83 = 39,032.81/x
  3. Step 3: Cross multiply
    51,774.47x = 71,472.83 × 39,032.81
  4. Step 4: Simplify right side
    51,774.47x = 2,789,784,841.02
  5. Step 5: Solve for x
    x = 2,789,784,841.02/51,774.47
  6. Step 6: Final answer
    x = 53,883.41

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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.