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Finding the Fourth Proportional to 95,842.40, 143,714.52 and 51,506.48

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Solution

The fourth proportional to 95,842.40, 143,714.52 and 51,506.48 is: 77,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,842.40 : 143,714.52 = 51,506.48 : x
  2. Step 2: Convert to fraction form
    95,842.40/143,714.52 = 51,506.48/x
  3. Step 3: Cross multiply
    95,842.40x = 143,714.52 × 51,506.48
  4. Step 4: Simplify right side
    95,842.40x = 7,402,229,050.09
  5. Step 5: Solve for x
    x = 7,402,229,050.09/95,842.40
  6. Step 6: Final answer
    x = 77,233.34

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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.