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Finding the Fourth Proportional to 76,202.72, 105,211.12 and 47,565.99

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Solution

The fourth proportional to 76,202.72, 105,211.12 and 47,565.99 is: 65,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.72 : 105,211.12 = 47,565.99 : x
  2. Step 2: Convert to fraction form
    76,202.72/105,211.12 = 47,565.99/x
  3. Step 3: Cross multiply
    76,202.72x = 105,211.12 × 47,565.99
  4. Step 4: Simplify right side
    76,202.72x = 5,004,470,962.89
  5. Step 5: Solve for x
    x = 5,004,470,962.89/76,202.72
  6. Step 6: Final answer
    x = 65,673.13

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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.