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Finding the Fourth Proportional to 49,575, 74,354.94 and 19,985.16

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Solution

The fourth proportional to 49,575, 74,354.94 and 19,985.16 is: 29,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,575 : 74,354.94 = 19,985.16 : x
  2. Step 2: Convert to fraction form
    49,575/74,354.94 = 19,985.16/x
  3. Step 3: Cross multiply
    49,575x = 74,354.94 × 19,985.16
  4. Step 4: Simplify right side
    49,575x = 1,485,995,372.69
  5. Step 5: Solve for x
    x = 1,485,995,372.69/49,575
  6. Step 6: Final answer
    x = 29,974.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.