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Finding the Fourth Proportional to 65,098.30, 97,647.45 and 61,774.06

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Solution

The fourth proportional to 65,098.30, 97,647.45 and 61,774.06 is: 92,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098.30 : 97,647.45 = 61,774.06 : x
  2. Step 2: Convert to fraction form
    65,098.30/97,647.45 = 61,774.06/x
  3. Step 3: Cross multiply
    65,098.30x = 97,647.45 × 61,774.06
  4. Step 4: Simplify right side
    65,098.30x = 6,032,078,959.38
  5. Step 5: Solve for x
    x = 6,032,078,959.38/65,098.30
  6. Step 6: Final answer
    x = 92,661.09

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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.