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Finding the Fourth Proportional to 81,384.50, 122,077.51 and 28,802.90

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Solution

The fourth proportional to 81,384.50, 122,077.51 and 28,802.90 is: 43,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,384.50 : 122,077.51 = 28,802.90 : x
  2. Step 2: Convert to fraction form
    81,384.50/122,077.51 = 28,802.90/x
  3. Step 3: Cross multiply
    81,384.50x = 122,077.51 × 28,802.90
  4. Step 4: Simplify right side
    81,384.50x = 3,516,186,312.78
  5. Step 5: Solve for x
    x = 3,516,186,312.78/81,384.50
  6. Step 6: Final answer
    x = 43,204.62

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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.