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Finding the Fourth Proportional to 32,123.84, 44,330.20 and 17,782.84

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Solution

The fourth proportional to 32,123.84, 44,330.20 and 17,782.84 is: 24,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.84 : 44,330.20 = 17,782.84 : x
  2. Step 2: Convert to fraction form
    32,123.84/44,330.20 = 17,782.84/x
  3. Step 3: Cross multiply
    32,123.84x = 44,330.20 × 17,782.84
  4. Step 4: Simplify right side
    32,123.84x = 788,316,632.12
  5. Step 5: Solve for x
    x = 788,316,632.12/32,123.84
  6. Step 6: Final answer
    x = 24,539.93

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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.