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Finding the Fourth Proportional to 51,973, 71,729.76 and 29,316.64

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Solution

The fourth proportional to 51,973, 71,729.76 and 29,316.64 is: 40,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,973 : 71,729.76 = 29,316.64 : x
  2. Step 2: Convert to fraction form
    51,973/71,729.76 = 29,316.64/x
  3. Step 3: Cross multiply
    51,973x = 71,729.76 × 29,316.64
  4. Step 4: Simplify right side
    51,973x = 2,102,875,551.21
  5. Step 5: Solve for x
    x = 2,102,875,551.21/51,973
  6. Step 6: Final answer
    x = 40,460.92

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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.