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Finding the Fourth Proportional to 53,602.64, 73,976.18 and 29,737

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Solution

The fourth proportional to 53,602.64, 73,976.18 and 29,737 is: 41,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.64 : 73,976.18 = 29,737 : x
  2. Step 2: Convert to fraction form
    53,602.64/73,976.18 = 29,737/x
  3. Step 3: Cross multiply
    53,602.64x = 73,976.18 × 29,737
  4. Step 4: Simplify right side
    53,602.64x = 2,199,829,664.66
  5. Step 5: Solve for x
    x = 2,199,829,664.66/53,602.64
  6. Step 6: Final answer
    x = 41,039.58

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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.