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Finding the Fourth Proportional to 52,157.28, 71,977.04 and 28,284

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Solution

The fourth proportional to 52,157.28, 71,977.04 and 28,284 is: 39,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157.28 : 71,977.04 = 28,284 : x
  2. Step 2: Convert to fraction form
    52,157.28/71,977.04 = 28,284/x
  3. Step 3: Cross multiply
    52,157.28x = 71,977.04 × 28,284
  4. Step 4: Simplify right side
    52,157.28x = 2,035,798,457.94
  5. Step 5: Solve for x
    x = 2,035,798,457.94/52,157.28
  6. Step 6: Final answer
    x = 39,031.91

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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.