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Finding the Fourth Proportional to 84,430, 116,514.66 and 46,704.16

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Solution

The fourth proportional to 84,430, 116,514.66 and 46,704.16 is: 64,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,430 : 116,514.66 = 46,704.16 : x
  2. Step 2: Convert to fraction form
    84,430/116,514.66 = 46,704.16/x
  3. Step 3: Cross multiply
    84,430x = 116,514.66 × 46,704.16
  4. Step 4: Simplify right side
    84,430x = 5,441,719,322.99
  5. Step 5: Solve for x
    x = 5,441,719,322.99/84,430
  6. Step 6: Final answer
    x = 64,452.44

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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.