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Finding the Fourth Proportional to 32,970.27, 49,444.34 and 10,778.45

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Solution

The fourth proportional to 32,970.27, 49,444.34 and 10,778.45 is: 16,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.27 : 49,444.34 = 10,778.45 : x
  2. Step 2: Convert to fraction form
    32,970.27/49,444.34 = 10,778.45/x
  3. Step 3: Cross multiply
    32,970.27x = 49,444.34 × 10,778.45
  4. Step 4: Simplify right side
    32,970.27x = 532,933,416.19
  5. Step 5: Solve for x
    x = 532,933,416.19/32,970.27
  6. Step 6: Final answer
    x = 16,164.06

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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.