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Finding the Fourth Proportional to 76,281.90, 114,376.50 and 34,154.16

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Solution

The fourth proportional to 76,281.90, 114,376.50 and 34,154.16 is: 51,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,281.90 : 114,376.50 = 34,154.16 : x
  2. Step 2: Convert to fraction form
    76,281.90/114,376.50 = 34,154.16/x
  3. Step 3: Cross multiply
    76,281.90x = 114,376.50 × 34,154.16
  4. Step 4: Simplify right side
    76,281.90x = 3,906,433,281.24
  5. Step 5: Solve for x
    x = 3,906,433,281.24/76,281.90
  6. Step 6: Final answer
    x = 51,210.49

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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.