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Finding the Fourth Proportional to 29,196.50, 40,292.14 and 15,948.50

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Solution

The fourth proportional to 29,196.50, 40,292.14 and 15,948.50 is: 22,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196.50 : 40,292.14 = 15,948.50 : x
  2. Step 2: Convert to fraction form
    29,196.50/40,292.14 = 15,948.50/x
  3. Step 3: Cross multiply
    29,196.50x = 40,292.14 × 15,948.50
  4. Step 4: Simplify right side
    29,196.50x = 642,599,194.79
  5. Step 5: Solve for x
    x = 642,599,194.79/29,196.50
  6. Step 6: Final answer
    x = 22,009.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.