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Finding the Fourth Proportional to 54,792.30, 82,127.70 and 21,501.30

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Solution

The fourth proportional to 54,792.30, 82,127.70 and 21,501.30 is: 32,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,792.30 : 82,127.70 = 21,501.30 : x
  2. Step 2: Convert to fraction form
    54,792.30/82,127.70 = 21,501.30/x
  3. Step 3: Cross multiply
    54,792.30x = 82,127.70 × 21,501.30
  4. Step 4: Simplify right side
    54,792.30x = 1,765,852,316.01
  5. Step 5: Solve for x
    x = 1,765,852,316.01/54,792.30
  6. Step 6: Final answer
    x = 32,228.11

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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.