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Finding the Fourth Proportional to 31,402.50, 46,995.14 and 19,389.72

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Solution

The fourth proportional to 31,402.50, 46,995.14 and 19,389.72 is: 29,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.50 : 46,995.14 = 19,389.72 : x
  2. Step 2: Convert to fraction form
    31,402.50/46,995.14 = 19,389.72/x
  3. Step 3: Cross multiply
    31,402.50x = 46,995.14 × 19,389.72
  4. Step 4: Simplify right side
    31,402.50x = 911,222,509.01
  5. Step 5: Solve for x
    x = 911,222,509.01/31,402.50
  6. Step 6: Final answer
    x = 29,017.51

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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.