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Finding the Fourth Proportional to 115,575.40, 173,362.14 and 31,335.40

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Solution

The fourth proportional to 115,575.40, 173,362.14 and 31,335.40 is: 47,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,575.40 : 173,362.14 = 31,335.40 : x
  2. Step 2: Convert to fraction form
    115,575.40/173,362.14 = 31,335.40/x
  3. Step 3: Cross multiply
    115,575.40x = 173,362.14 × 31,335.40
  4. Step 4: Simplify right side
    115,575.40x = 5,432,372,001.76
  5. Step 5: Solve for x
    x = 5,432,372,001.76/115,575.40
  6. Step 6: Final answer
    x = 47,002.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.