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Finding the Fourth Proportional to 65,136.96, 97,511.04 and 58,377.60

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Solution

The fourth proportional to 65,136.96, 97,511.04 and 58,377.60 is: 87,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136.96 : 97,511.04 = 58,377.60 : x
  2. Step 2: Convert to fraction form
    65,136.96/97,511.04 = 58,377.60/x
  3. Step 3: Cross multiply
    65,136.96x = 97,511.04 × 58,377.60
  4. Step 4: Simplify right side
    65,136.96x = 5,692,460,488.70
  5. Step 5: Solve for x
    x = 5,692,460,488.70/65,136.96
  6. Step 6: Final answer
    x = 87,392.17

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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.