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Finding the Fourth Proportional to 64,590.32, 96,887.32 and 17,843.20

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Solution

The fourth proportional to 64,590.32, 96,887.32 and 17,843.20 is: 26,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,590.32 : 96,887.32 = 17,843.20 : x
  2. Step 2: Convert to fraction form
    64,590.32/96,887.32 = 17,843.20/x
  3. Step 3: Cross multiply
    64,590.32x = 96,887.32 × 17,843.20
  4. Step 4: Simplify right side
    64,590.32x = 1,728,779,828.22
  5. Step 5: Solve for x
    x = 1,728,779,828.22/64,590.32
  6. Step 6: Final answer
    x = 26,765.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.