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Finding the Fourth Proportional to 47,404.64, 71,117.28 and 16,240.64

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Solution

The fourth proportional to 47,404.64, 71,117.28 and 16,240.64 is: 24,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404.64 : 71,117.28 = 16,240.64 : x
  2. Step 2: Convert to fraction form
    47,404.64/71,117.28 = 16,240.64/x
  3. Step 3: Cross multiply
    47,404.64x = 71,117.28 × 16,240.64
  4. Step 4: Simplify right side
    47,404.64x = 1,154,990,142.26
  5. Step 5: Solve for x
    x = 1,154,990,142.26/47,404.64
  6. Step 6: Final answer
    x = 24,364.50

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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.