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Finding the Fourth Proportional to 32,830.44, 45,307.14 and 18,682.98

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Solution

The fourth proportional to 32,830.44, 45,307.14 and 18,682.98 is: 25,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.44 : 45,307.14 = 18,682.98 : x
  2. Step 2: Convert to fraction form
    32,830.44/45,307.14 = 18,682.98/x
  3. Step 3: Cross multiply
    32,830.44x = 45,307.14 × 18,682.98
  4. Step 4: Simplify right side
    32,830.44x = 846,472,390.48
  5. Step 5: Solve for x
    x = 846,472,390.48/32,830.44
  6. Step 6: Final answer
    x = 25,783.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.