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Finding the Fourth Proportional to 68,077.81, 102,103.21 and 64,702.21

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Solution

The fourth proportional to 68,077.81, 102,103.21 and 64,702.21 is: 97,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.81 : 102,103.21 = 64,702.21 : x
  2. Step 2: Convert to fraction form
    68,077.81/102,103.21 = 64,702.21/x
  3. Step 3: Cross multiply
    68,077.81x = 102,103.21 × 64,702.21
  4. Step 4: Simplify right side
    68,077.81x = 6,606,302,501.07
  5. Step 5: Solve for x
    x = 6,606,302,501.07/68,077.81
  6. Step 6: Final answer
    x = 97,040.47

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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.