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Finding the Fourth Proportional to 84,476.64, 116,581.42 and 46,750.90

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Solution

The fourth proportional to 84,476.64, 116,581.42 and 46,750.90 is: 64,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,476.64 : 116,581.42 = 46,750.90 : x
  2. Step 2: Convert to fraction form
    84,476.64/116,581.42 = 46,750.90/x
  3. Step 3: Cross multiply
    84,476.64x = 116,581.42 × 46,750.90
  4. Step 4: Simplify right side
    84,476.64x = 5,450,286,308.28
  5. Step 5: Solve for x
    x = 5,450,286,308.28/84,476.64
  6. Step 6: Final answer
    x = 64,518.27

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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.