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Finding the Fourth Proportional to 76,411.40, 114,617.10 and 32,023.40

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Solution

The fourth proportional to 76,411.40, 114,617.10 and 32,023.40 is: 48,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.40 : 114,617.10 = 32,023.40 : x
  2. Step 2: Convert to fraction form
    76,411.40/114,617.10 = 32,023.40/x
  3. Step 3: Cross multiply
    76,411.40x = 114,617.10 × 32,023.40
  4. Step 4: Simplify right side
    76,411.40x = 3,670,429,240.14
  5. Step 5: Solve for x
    x = 3,670,429,240.14/76,411.40
  6. Step 6: Final answer
    x = 48,035.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.