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Finding the Fourth Proportional to 51,783.34, 71,459.40 and 29,123.32

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Solution

The fourth proportional to 51,783.34, 71,459.40 and 29,123.32 is: 40,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,783.34 : 71,459.40 = 29,123.32 : x
  2. Step 2: Convert to fraction form
    51,783.34/71,459.40 = 29,123.32/x
  3. Step 3: Cross multiply
    51,783.34x = 71,459.40 × 29,123.32
  4. Step 4: Simplify right side
    51,783.34x = 2,081,134,973.21
  5. Step 5: Solve for x
    x = 2,081,134,973.21/51,783.34
  6. Step 6: Final answer
    x = 40,189.28

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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.