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Finding the Fourth Proportional to 47,000.52, 64,823.04 and 41,323.20

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Solution

The fourth proportional to 47,000.52, 64,823.04 and 41,323.20 is: 56,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.52 : 64,823.04 = 41,323.20 : x
  2. Step 2: Convert to fraction form
    47,000.52/64,823.04 = 41,323.20/x
  3. Step 3: Cross multiply
    47,000.52x = 64,823.04 × 41,323.20
  4. Step 4: Simplify right side
    47,000.52x = 2,678,695,446.53
  5. Step 5: Solve for x
    x = 2,678,695,446.53/47,000.52
  6. Step 6: Final answer
    x = 56,992.89

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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.