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Finding the Fourth Proportional to 31,693.51, 47,537.43 and 9,511.84

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Solution

The fourth proportional to 31,693.51, 47,537.43 and 9,511.84 is: 14,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.51 : 47,537.43 = 9,511.84 : x
  2. Step 2: Convert to fraction form
    31,693.51/47,537.43 = 9,511.84/x
  3. Step 3: Cross multiply
    31,693.51x = 47,537.43 × 9,511.84
  4. Step 4: Simplify right side
    31,693.51x = 452,168,428.17
  5. Step 5: Solve for x
    x = 452,168,428.17/31,693.51
  6. Step 6: Final answer
    x = 14,266.91

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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.