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Finding the Fourth Proportional to 31,384.64, 47,078.58 and 8,011.28

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Solution

The fourth proportional to 31,384.64, 47,078.58 and 8,011.28 is: 12,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.64 : 47,078.58 = 8,011.28 : x
  2. Step 2: Convert to fraction form
    31,384.64/47,078.58 = 8,011.28/x
  3. Step 3: Cross multiply
    31,384.64x = 47,078.58 × 8,011.28
  4. Step 4: Simplify right side
    31,384.64x = 377,159,834.12
  5. Step 5: Solve for x
    x = 377,159,834.12/31,384.64
  6. Step 6: Final answer
    x = 12,017.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.