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Finding the Fourth Proportional to 47,313.60, 70,965.60 and 16,148.40

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Solution

The fourth proportional to 47,313.60, 70,965.60 and 16,148.40 is: 24,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,313.60 : 70,965.60 = 16,148.40 : x
  2. Step 2: Convert to fraction form
    47,313.60/70,965.60 = 16,148.40/x
  3. Step 3: Cross multiply
    47,313.60x = 70,965.60 × 16,148.40
  4. Step 4: Simplify right side
    47,313.60x = 1,145,980,895.04
  5. Step 5: Solve for x
    x = 1,145,980,895.04/47,313.60
  6. Step 6: Final answer
    x = 24,220.96

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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.