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Finding the Fourth Proportional to 47,262.96, 70,894.41 and 13,980.42

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Solution

The fourth proportional to 47,262.96, 70,894.41 and 13,980.42 is: 20,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,262.96 : 70,894.41 = 13,980.42 : x
  2. Step 2: Convert to fraction form
    47,262.96/70,894.41 = 13,980.42/x
  3. Step 3: Cross multiply
    47,262.96x = 70,894.41 × 13,980.42
  4. Step 4: Simplify right side
    47,262.96x = 991,133,627.45
  5. Step 5: Solve for x
    x = 991,133,627.45/47,262.96
  6. Step 6: Final answer
    x = 20,970.62

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1.5x scale

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.