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Finding the Fourth Proportional to 47,811.67, 65,978.35 and 26,592.30

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Solution

The fourth proportional to 47,811.67, 65,978.35 and 26,592.30 is: 36,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,811.67 : 65,978.35 = 26,592.30 : x
  2. Step 2: Convert to fraction form
    47,811.67/65,978.35 = 26,592.30/x
  3. Step 3: Cross multiply
    47,811.67x = 65,978.35 × 26,592.30
  4. Step 4: Simplify right side
    47,811.67x = 1,754,516,010.22
  5. Step 5: Solve for x
    x = 1,754,516,010.22/47,811.67
  6. Step 6: Final answer
    x = 36,696.40

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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.