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Finding the Fourth Proportional to 53,407.68, 73,696.32 and 29,534.48

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Solution

The fourth proportional to 53,407.68, 73,696.32 and 29,534.48 is: 40,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,407.68 : 73,696.32 = 29,534.48 : x
  2. Step 2: Convert to fraction form
    53,407.68/73,696.32 = 29,534.48/x
  3. Step 3: Cross multiply
    53,407.68x = 73,696.32 × 29,534.48
  4. Step 4: Simplify right side
    53,407.68x = 2,176,582,489.11
  5. Step 5: Solve for x
    x = 2,176,582,489.11/53,407.68
  6. Step 6: Final answer
    x = 40,754.11

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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.