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Finding the Fourth Proportional to 31,871.64, 47,807.70 and 11,095.08

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Solution

The fourth proportional to 31,871.64, 47,807.70 and 11,095.08 is: 16,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.64 : 47,807.70 = 11,095.08 : x
  2. Step 2: Convert to fraction form
    31,871.64/47,807.70 = 11,095.08/x
  3. Step 3: Cross multiply
    31,871.64x = 47,807.70 × 11,095.08
  4. Step 4: Simplify right side
    31,871.64x = 530,430,256.12
  5. Step 5: Solve for x
    x = 530,430,256.12/31,871.64
  6. Step 6: Final answer
    x = 16,642.70

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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.