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Finding the Fourth Proportional to 75,641.86, 113,462.80 and 23,051.38

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Solution

The fourth proportional to 75,641.86, 113,462.80 and 23,051.38 is: 34,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,641.86 : 113,462.80 = 23,051.38 : x
  2. Step 2: Convert to fraction form
    75,641.86/113,462.80 = 23,051.38/x
  3. Step 3: Cross multiply
    75,641.86x = 113,462.80 × 23,051.38
  4. Step 4: Simplify right side
    75,641.86x = 2,615,474,118.66
  5. Step 5: Solve for x
    x = 2,615,474,118.66/75,641.86
  6. Step 6: Final answer
    x = 34,577.07

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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.