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Finding the Fourth Proportional to 31,888.29, 47,833.23 and 15,250.08

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Solution

The fourth proportional to 31,888.29, 47,833.23 and 15,250.08 is: 22,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.29 : 47,833.23 = 15,250.08 : x
  2. Step 2: Convert to fraction form
    31,888.29/47,833.23 = 15,250.08/x
  3. Step 3: Cross multiply
    31,888.29x = 47,833.23 × 15,250.08
  4. Step 4: Simplify right side
    31,888.29x = 729,460,507.91
  5. Step 5: Solve for x
    x = 729,460,507.91/31,888.29
  6. Step 6: Final answer
    x = 22,875.50

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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.