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Finding the Fourth Proportional to 116,254.83, 174,386.49 and 32,021.49

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Solution

The fourth proportional to 116,254.83, 174,386.49 and 32,021.49 is: 48,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,254.83 : 174,386.49 = 32,021.49 : x
  2. Step 2: Convert to fraction form
    116,254.83/174,386.49 = 32,021.49/x
  3. Step 3: Cross multiply
    116,254.83x = 174,386.49 × 32,021.49
  4. Step 4: Simplify right side
    116,254.83x = 5,584,115,245.67
  5. Step 5: Solve for x
    x = 5,584,115,245.67/116,254.83
  6. Step 6: Final answer
    x = 48,033.40

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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.