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Finding the Fourth Proportional to 76,521, 114,763.26 and 32,148.60

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Solution

The fourth proportional to 76,521, 114,763.26 and 32,148.60 is: 48,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,521 : 114,763.26 = 32,148.60 : x
  2. Step 2: Convert to fraction form
    76,521/114,763.26 = 32,148.60/x
  3. Step 3: Cross multiply
    76,521x = 114,763.26 × 32,148.60
  4. Step 4: Simplify right side
    76,521x = 3,689,478,140.44
  5. Step 5: Solve for x
    x = 3,689,478,140.44/76,521
  6. Step 6: Final answer
    x = 48,215.24

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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.