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Finding the Fourth Proportional to 32,803.40, 49,223.82 and 17,821.64

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Solution

The fourth proportional to 32,803.40, 49,223.82 and 17,821.64 is: 26,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.40 : 49,223.82 = 17,821.64 : x
  2. Step 2: Convert to fraction form
    32,803.40/49,223.82 = 17,821.64/x
  3. Step 3: Cross multiply
    32,803.40x = 49,223.82 × 17,821.64
  4. Step 4: Simplify right side
    32,803.40x = 877,249,199.46
  5. Step 5: Solve for x
    x = 877,249,199.46/32,803.40
  6. Step 6: Final answer
    x = 26,742.63

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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.