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Finding the Fourth Proportional to 116,354.34, 174,420.18 and 37,413

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Solution

The fourth proportional to 116,354.34, 174,420.18 and 37,413 is: 56,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,354.34 : 174,420.18 = 37,413 : x
  2. Step 2: Convert to fraction form
    116,354.34/174,420.18 = 37,413/x
  3. Step 3: Cross multiply
    116,354.34x = 174,420.18 × 37,413
  4. Step 4: Simplify right side
    116,354.34x = 6,525,582,194.34
  5. Step 5: Solve for x
    x = 6,525,582,194.34/116,354.34
  6. Step 6: Final answer
    x = 56,083.70

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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.