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Finding the Fourth Proportional to 50,507.86, 75,678.03 and 30,726.58

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Solution

The fourth proportional to 50,507.86, 75,678.03 and 30,726.58 is: 46,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.86 : 75,678.03 = 30,726.58 : x
  2. Step 2: Convert to fraction form
    50,507.86/75,678.03 = 30,726.58/x
  3. Step 3: Cross multiply
    50,507.86x = 75,678.03 × 30,726.58
  4. Step 4: Simplify right side
    50,507.86x = 2,325,327,043.04
  5. Step 5: Solve for x
    x = 2,325,327,043.04/50,507.86
  6. Step 6: Final answer
    x = 46,038.91

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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.