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Finding the Fourth Proportional to 116,242.81, 174,368.48 and 32,009.48

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Solution

The fourth proportional to 116,242.81, 174,368.48 and 32,009.48 is: 48,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,242.81 : 174,368.48 = 32,009.48 : x
  2. Step 2: Convert to fraction form
    116,242.81/174,368.48 = 32,009.48/x
  3. Step 3: Cross multiply
    116,242.81x = 174,368.48 × 32,009.48
  4. Step 4: Simplify right side
    116,242.81x = 5,581,444,310.28
  5. Step 5: Solve for x
    x = 5,581,444,310.28/116,242.81
  6. Step 6: Final answer
    x = 48,015.39

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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.