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Finding the Fourth Proportional to 47,337.60, 70,981.60 and 14,053.12

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Solution

The fourth proportional to 47,337.60, 70,981.60 and 14,053.12 is: 21,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,337.60 : 70,981.60 = 14,053.12 : x
  2. Step 2: Convert to fraction form
    47,337.60/70,981.60 = 14,053.12/x
  3. Step 3: Cross multiply
    47,337.60x = 70,981.60 × 14,053.12
  4. Step 4: Simplify right side
    47,337.60x = 997,512,942.59
  5. Step 5: Solve for x
    x = 997,512,942.59/47,337.60
  6. Step 6: Final answer
    x = 21,072.32

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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.