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Finding the Fourth Proportional to 47,686.32, 65,809.26 and 33,543.72

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Solution

The fourth proportional to 47,686.32, 65,809.26 and 33,543.72 is: 46,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,686.32 : 65,809.26 = 33,543.72 : x
  2. Step 2: Convert to fraction form
    47,686.32/65,809.26 = 33,543.72/x
  3. Step 3: Cross multiply
    47,686.32x = 65,809.26 × 33,543.72
  4. Step 4: Simplify right side
    47,686.32x = 2,207,487,390.85
  5. Step 5: Solve for x
    x = 2,207,487,390.85/47,686.32
  6. Step 6: Final answer
    x = 46,291.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.