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Finding the Fourth Proportional to 97,492.50, 134,463.20 and 63,511.70

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Solution

The fourth proportional to 97,492.50, 134,463.20 and 63,511.70 is: 87,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,492.50 : 134,463.20 = 63,511.70 : x
  2. Step 2: Convert to fraction form
    97,492.50/134,463.20 = 63,511.70/x
  3. Step 3: Cross multiply
    97,492.50x = 134,463.20 × 63,511.70
  4. Step 4: Simplify right side
    97,492.50x = 8,539,986,419.44
  5. Step 5: Solve for x
    x = 8,539,986,419.44/97,492.50
  6. Step 6: Final answer
    x = 87,596.34

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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.