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Finding the Fourth Proportional to 47,412.84, 65,436 and 45,855.12

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Solution

The fourth proportional to 47,412.84, 65,436 and 45,855.12 is: 63,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412.84 : 65,436 = 45,855.12 : x
  2. Step 2: Convert to fraction form
    47,412.84/65,436 = 45,855.12/x
  3. Step 3: Cross multiply
    47,412.84x = 65,436 × 45,855.12
  4. Step 4: Simplify right side
    47,412.84x = 3,000,575,632.32
  5. Step 5: Solve for x
    x = 3,000,575,632.32/47,412.84
  6. Step 6: Final answer
    x = 63,286.14

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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.