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Finding the Fourth Proportional to 76,395, 114,638.58 and 32,619

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Solution

The fourth proportional to 76,395, 114,638.58 and 32,619 is: 48,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,395 : 114,638.58 = 32,619 : x
  2. Step 2: Convert to fraction form
    76,395/114,638.58 = 32,619/x
  3. Step 3: Cross multiply
    76,395x = 114,638.58 × 32,619
  4. Step 4: Simplify right side
    76,395x = 3,739,395,841.02
  5. Step 5: Solve for x
    x = 3,739,395,841.02/76,395
  6. Step 6: Final answer
    x = 48,948.18

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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.