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Finding the Fourth Proportional to 105,590.16, 145,714.68 and 57,844.44

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Solution

The fourth proportional to 105,590.16, 145,714.68 and 57,844.44 is: 79,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,590.16 : 145,714.68 = 57,844.44 : x
  2. Step 2: Convert to fraction form
    105,590.16/145,714.68 = 57,844.44/x
  3. Step 3: Cross multiply
    105,590.16x = 145,714.68 × 57,844.44
  4. Step 4: Simplify right side
    105,590.16x = 8,428,784,064.38
  5. Step 5: Solve for x
    x = 8,428,784,064.38/105,590.16
  6. Step 6: Final answer
    x = 79,825.47

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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.