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Finding the Fourth Proportional to 31,607.64, 47,373.66 and 14,057.64

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Solution

The fourth proportional to 31,607.64, 47,373.66 and 14,057.64 is: 21,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.64 : 47,373.66 = 14,057.64 : x
  2. Step 2: Convert to fraction form
    31,607.64/47,373.66 = 14,057.64/x
  3. Step 3: Cross multiply
    31,607.64x = 47,373.66 × 14,057.64
  4. Step 4: Simplify right side
    31,607.64x = 665,961,857.76
  5. Step 5: Solve for x
    x = 665,961,857.76/31,607.64
  6. Step 6: Final answer
    x = 21,069.65

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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.