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Finding the Fourth Proportional to 32,688.90, 49,021.29 and 13,970.97

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Solution

The fourth proportional to 32,688.90, 49,021.29 and 13,970.97 is: 20,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688.90 : 49,021.29 = 13,970.97 : x
  2. Step 2: Convert to fraction form
    32,688.90/49,021.29 = 13,970.97/x
  3. Step 3: Cross multiply
    32,688.90x = 49,021.29 × 13,970.97
  4. Step 4: Simplify right side
    32,688.90x = 684,874,971.95
  5. Step 5: Solve for x
    x = 684,874,971.95/32,688.90
  6. Step 6: Final answer
    x = 20,951.30

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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.