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Finding the Fourth Proportional to 103,638, 155,461.05 and 32,609.10

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Solution

The fourth proportional to 103,638, 155,461.05 and 32,609.10 is: 48,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 155,461.05 = 32,609.10 : x
  2. Step 2: Convert to fraction form
    103,638/155,461.05 = 32,609.10/x
  3. Step 3: Cross multiply
    103,638x = 155,461.05 × 32,609.10
  4. Step 4: Simplify right side
    103,638x = 5,069,444,925.56
  5. Step 5: Solve for x
    x = 5,069,444,925.56/103,638
  6. Step 6: Final answer
    x = 48,914.92

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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.