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Finding the Fourth Proportional to 74,435.84, 102,681 and 45,745.14

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Solution

The fourth proportional to 74,435.84, 102,681 and 45,745.14 is: 63,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,435.84 : 102,681 = 45,745.14 : x
  2. Step 2: Convert to fraction form
    74,435.84/102,681 = 45,745.14/x
  3. Step 3: Cross multiply
    74,435.84x = 102,681 × 45,745.14
  4. Step 4: Simplify right side
    74,435.84x = 4,697,156,720.34
  5. Step 5: Solve for x
    x = 4,697,156,720.34/74,435.84
  6. Step 6: Final answer
    x = 63,103.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.