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Finding the Fourth Proportional to 31,507.49, 47,258.64 and 10,440.65

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Solution

The fourth proportional to 31,507.49, 47,258.64 and 10,440.65 is: 15,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.49 : 47,258.64 = 10,440.65 : x
  2. Step 2: Convert to fraction form
    31,507.49/47,258.64 = 10,440.65/x
  3. Step 3: Cross multiply
    31,507.49x = 47,258.64 × 10,440.65
  4. Step 4: Simplify right side
    31,507.49x = 493,411,037.86
  5. Step 5: Solve for x
    x = 493,411,037.86/31,507.49
  6. Step 6: Final answer
    x = 15,660.12

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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.