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Finding the Fourth Proportional to 72,538.68, 100,105.20 and 40,710

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Solution

The fourth proportional to 72,538.68, 100,105.20 and 40,710 is: 56,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.68 : 100,105.20 = 40,710 : x
  2. Step 2: Convert to fraction form
    72,538.68/100,105.20 = 40,710/x
  3. Step 3: Cross multiply
    72,538.68x = 100,105.20 × 40,710
  4. Step 4: Simplify right side
    72,538.68x = 4,075,282,692
  5. Step 5: Solve for x
    x = 4,075,282,692/72,538.68
  6. Step 6: Final answer
    x = 56,180.82

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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.