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Finding the Fourth Proportional to 53,486.68, 73,814.34 and 29,615.98

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Solution

The fourth proportional to 53,486.68, 73,814.34 and 29,615.98 is: 40,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,486.68 : 73,814.34 = 29,615.98 : x
  2. Step 2: Convert to fraction form
    53,486.68/73,814.34 = 29,615.98/x
  3. Step 3: Cross multiply
    53,486.68x = 73,814.34 × 29,615.98
  4. Step 4: Simplify right side
    53,486.68x = 2,186,084,017.15
  5. Step 5: Solve for x
    x = 2,186,084,017.15/53,486.68
  6. Step 6: Final answer
    x = 40,871.56

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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.