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Finding the Fourth Proportional to 47,855.08, 65,971.53 and 33,663.88

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Solution

The fourth proportional to 47,855.08, 65,971.53 and 33,663.88 is: 46,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855.08 : 65,971.53 = 33,663.88 : x
  2. Step 2: Convert to fraction form
    47,855.08/65,971.53 = 33,663.88/x
  3. Step 3: Cross multiply
    47,855.08x = 65,971.53 × 33,663.88
  4. Step 4: Simplify right side
    47,855.08x = 2,220,857,669.34
  5. Step 5: Solve for x
    x = 2,220,857,669.34/47,855.08
  6. Step 6: Final answer
    x = 46,407.98

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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.