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Finding the Fourth Proportional to 76,849, 106,051.62 and 41,521

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Solution

The fourth proportional to 76,849, 106,051.62 and 41,521 is: 57,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849 : 106,051.62 = 41,521 : x
  2. Step 2: Convert to fraction form
    76,849/106,051.62 = 41,521/x
  3. Step 3: Cross multiply
    76,849x = 106,051.62 × 41,521
  4. Step 4: Simplify right side
    76,849x = 4,403,369,314.02
  5. Step 5: Solve for x
    x = 4,403,369,314.02/76,849
  6. Step 6: Final answer
    x = 57,298.98

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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.