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Finding the Fourth Proportional to 61,745.84, 92,542.84 and 35,114.16

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Solution

The fourth proportional to 61,745.84, 92,542.84 and 35,114.16 is: 52,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,745.84 : 92,542.84 = 35,114.16 : x
  2. Step 2: Convert to fraction form
    61,745.84/92,542.84 = 35,114.16/x
  3. Step 3: Cross multiply
    61,745.84x = 92,542.84 × 35,114.16
  4. Step 4: Simplify right side
    61,745.84x = 3,249,564,090.61
  5. Step 5: Solve for x
    x = 3,249,564,090.61/61,745.84
  6. Step 6: Final answer
    x = 52,628.07

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Why These Related Problems?

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