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Finding the Fourth Proportional to 76,411.90, 114,662.48 and 32,035.24

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Solution

The fourth proportional to 76,411.90, 114,662.48 and 32,035.24 is: 48,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.90 : 114,662.48 = 32,035.24 : x
  2. Step 2: Convert to fraction form
    76,411.90/114,662.48 = 32,035.24/x
  3. Step 3: Cross multiply
    76,411.90x = 114,662.48 × 32,035.24
  4. Step 4: Simplify right side
    76,411.90x = 3,673,240,065.80
  5. Step 5: Solve for x
    x = 3,673,240,065.80/76,411.90
  6. Step 6: Final answer
    x = 48,071.57

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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.