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Finding the Fourth Proportional to 116,386.27, 174,575.94 and 32,151.50

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Solution

The fourth proportional to 116,386.27, 174,575.94 and 32,151.50 is: 48,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,386.27 : 174,575.94 = 32,151.50 : x
  2. Step 2: Convert to fraction form
    116,386.27/174,575.94 = 32,151.50/x
  3. Step 3: Cross multiply
    116,386.27x = 174,575.94 × 32,151.50
  4. Step 4: Simplify right side
    116,386.27x = 5,612,877,996.12
  5. Step 5: Solve for x
    x = 5,612,877,996.12/116,386.27
  6. Step 6: Final answer
    x = 48,226.29

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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.