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Finding the Fourth Proportional to 31,681.70, 47,502.50 and 26,983.30

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Solution

The fourth proportional to 31,681.70, 47,502.50 and 26,983.30 is: 40,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.70 : 47,502.50 = 26,983.30 : x
  2. Step 2: Convert to fraction form
    31,681.70/47,502.50 = 26,983.30/x
  3. Step 3: Cross multiply
    31,681.70x = 47,502.50 × 26,983.30
  4. Step 4: Simplify right side
    31,681.70x = 1,281,774,208.25
  5. Step 5: Solve for x
    x = 1,281,774,208.25/31,681.70
  6. Step 6: Final answer
    x = 40,457.87

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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.