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Finding the Fourth Proportional to 31,957.90, 47,943.14 and 9,774.44

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Solution

The fourth proportional to 31,957.90, 47,943.14 and 9,774.44 is: 14,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.90 : 47,943.14 = 9,774.44 : x
  2. Step 2: Convert to fraction form
    31,957.90/47,943.14 = 9,774.44/x
  3. Step 3: Cross multiply
    31,957.90x = 47,943.14 × 9,774.44
  4. Step 4: Simplify right side
    31,957.90x = 468,617,345.34
  5. Step 5: Solve for x
    x = 468,617,345.34/31,957.90
  6. Step 6: Final answer
    x = 14,663.58

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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.