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Finding the Fourth Proportional to 50,565.34, 75,848.01 and 47,448.86

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Solution

The fourth proportional to 50,565.34, 75,848.01 and 47,448.86 is: 71,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,565.34 : 75,848.01 = 47,448.86 : x
  2. Step 2: Convert to fraction form
    50,565.34/75,848.01 = 47,448.86/x
  3. Step 3: Cross multiply
    50,565.34x = 75,848.01 × 47,448.86
  4. Step 4: Simplify right side
    50,565.34x = 3,598,901,607.77
  5. Step 5: Solve for x
    x = 3,598,901,607.77/50,565.34
  6. Step 6: Final answer
    x = 71,173.29

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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.