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Finding the Fourth Proportional to 47,000.10, 70,499.67 and 15,835.14

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Solution

The fourth proportional to 47,000.10, 70,499.67 and 15,835.14 is: 23,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.10 : 70,499.67 = 15,835.14 : x
  2. Step 2: Convert to fraction form
    47,000.10/70,499.67 = 15,835.14/x
  3. Step 3: Cross multiply
    47,000.10x = 70,499.67 × 15,835.14
  4. Step 4: Simplify right side
    47,000.10x = 1,116,372,144.40
  5. Step 5: Solve for x
    x = 1,116,372,144.40/47,000.10
  6. Step 6: Final answer
    x = 23,752.55

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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.