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Finding the Fourth Proportional to 53,584.32, 73,961.76 and 32,360

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Solution

The fourth proportional to 53,584.32, 73,961.76 and 32,360 is: 44,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,584.32 : 73,961.76 = 32,360 : x
  2. Step 2: Convert to fraction form
    53,584.32/73,961.76 = 32,360/x
  3. Step 3: Cross multiply
    53,584.32x = 73,961.76 × 32,360
  4. Step 4: Simplify right side
    53,584.32x = 2,393,402,553.60
  5. Step 5: Solve for x
    x = 2,393,402,553.60/53,584.32
  6. Step 6: Final answer
    x = 44,666.10

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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.