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Finding the Fourth Proportional to 125,344.52, 188,014.14 and 30,575

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Solution

The fourth proportional to 125,344.52, 188,014.14 and 30,575 is: 45,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,344.52 : 188,014.14 = 30,575 : x
  2. Step 2: Convert to fraction form
    125,344.52/188,014.14 = 30,575/x
  3. Step 3: Cross multiply
    125,344.52x = 188,014.14 × 30,575
  4. Step 4: Simplify right side
    125,344.52x = 5,748,532,330.50
  5. Step 5: Solve for x
    x = 5,748,532,330.50/125,344.52
  6. Step 6: Final answer
    x = 45,861.86

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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.