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Finding the Fourth Proportional to 29,538.19, 40,783.25 and 23,897.96

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Solution

The fourth proportional to 29,538.19, 40,783.25 and 23,897.96 is: 32,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.19 : 40,783.25 = 23,897.96 : x
  2. Step 2: Convert to fraction form
    29,538.19/40,783.25 = 23,897.96/x
  3. Step 3: Cross multiply
    29,538.19x = 40,783.25 × 23,897.96
  4. Step 4: Simplify right side
    29,538.19x = 974,636,153.76
  5. Step 5: Solve for x
    x = 974,636,153.76/29,538.19
  6. Step 6: Final answer
    x = 32,995.80

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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.