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Finding the Fourth Proportional to 116,411.52, 174,617.28 and 54,048

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Solution

The fourth proportional to 116,411.52, 174,617.28 and 54,048 is: 81,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,411.52 : 174,617.28 = 54,048 : x
  2. Step 2: Convert to fraction form
    116,411.52/174,617.28 = 54,048/x
  3. Step 3: Cross multiply
    116,411.52x = 174,617.28 × 54,048
  4. Step 4: Simplify right side
    116,411.52x = 9,437,714,749.44
  5. Step 5: Solve for x
    x = 9,437,714,749.44/116,411.52
  6. Step 6: Final answer
    x = 81,072

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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.