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Finding the Fourth Proportional to 32,901.64, 49,341.41 and 10,709.80

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Solution

The fourth proportional to 32,901.64, 49,341.41 and 10,709.80 is: 16,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.64 : 49,341.41 = 10,709.80 : x
  2. Step 2: Convert to fraction form
    32,901.64/49,341.41 = 10,709.80/x
  3. Step 3: Cross multiply
    32,901.64x = 49,341.41 × 10,709.80
  4. Step 4: Simplify right side
    32,901.64x = 528,436,536.24
  5. Step 5: Solve for x
    x = 528,436,536.24/32,901.64
  6. Step 6: Final answer
    x = 16,061.10

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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.