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Finding the Fourth Proportional to 82,963.61, 124,428.67 and 23,783.39

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Solution

The fourth proportional to 82,963.61, 124,428.67 and 23,783.39 is: 35,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.61 : 124,428.67 = 23,783.39 : x
  2. Step 2: Convert to fraction form
    82,963.61/124,428.67 = 23,783.39/x
  3. Step 3: Cross multiply
    82,963.61x = 124,428.67 × 23,783.39
  4. Step 4: Simplify right side
    82,963.61x = 2,959,335,585.79
  5. Step 5: Solve for x
    x = 2,959,335,585.79/82,963.61
  6. Step 6: Final answer
    x = 35,670.28

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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.