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Finding the Fourth Proportional to 82,532.94, 113,894.53 and 46,722.64

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Solution

The fourth proportional to 82,532.94, 113,894.53 and 46,722.64 is: 64,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.94 : 113,894.53 = 46,722.64 : x
  2. Step 2: Convert to fraction form
    82,532.94/113,894.53 = 46,722.64/x
  3. Step 3: Cross multiply
    82,532.94x = 113,894.53 × 46,722.64
  4. Step 4: Simplify right side
    82,532.94x = 5,321,453,123.16
  5. Step 5: Solve for x
    x = 5,321,453,123.16/82,532.94
  6. Step 6: Final answer
    x = 64,476.72

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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.