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Finding the Fourth Proportional to 84,416.34, 116,486.72 and 46,689.78

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Solution

The fourth proportional to 84,416.34, 116,486.72 and 46,689.78 is: 64,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,416.34 : 116,486.72 = 46,689.78 : x
  2. Step 2: Convert to fraction form
    84,416.34/116,486.72 = 46,689.78/x
  3. Step 3: Cross multiply
    84,416.34x = 116,486.72 × 46,689.78
  4. Step 4: Simplify right side
    84,416.34x = 5,438,739,329.72
  5. Step 5: Solve for x
    x = 5,438,739,329.72/84,416.34
  6. Step 6: Final answer
    x = 64,427.57

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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.