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Finding the Fourth Proportional to 84,622.32, 116,780.13 and 46,381.41

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Solution

The fourth proportional to 84,622.32, 116,780.13 and 46,381.41 is: 64,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,622.32 : 116,780.13 = 46,381.41 : x
  2. Step 2: Convert to fraction form
    84,622.32/116,780.13 = 46,381.41/x
  3. Step 3: Cross multiply
    84,622.32x = 116,780.13 × 46,381.41
  4. Step 4: Simplify right side
    84,622.32x = 5,416,427,089.38
  5. Step 5: Solve for x
    x = 5,416,427,089.38/84,622.32
  6. Step 6: Final answer
    x = 64,007.07

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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.