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Finding the Fourth Proportional to 32,886.96, 49,343.40 and 14,406

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Solution

The fourth proportional to 32,886.96, 49,343.40 and 14,406 is: 21,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886.96 : 49,343.40 = 14,406 : x
  2. Step 2: Convert to fraction form
    32,886.96/49,343.40 = 14,406/x
  3. Step 3: Cross multiply
    32,886.96x = 49,343.40 × 14,406
  4. Step 4: Simplify right side
    32,886.96x = 710,841,020.40
  5. Step 5: Solve for x
    x = 710,841,020.40/32,886.96
  6. Step 6: Final answer
    x = 21,614.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.