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Finding the Fourth Proportional to 52,896.96, 72,986.40 and 30,528

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Solution

The fourth proportional to 52,896.96, 72,986.40 and 30,528 is: 42,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,896.96 : 72,986.40 = 30,528 : x
  2. Step 2: Convert to fraction form
    52,896.96/72,986.40 = 30,528/x
  3. Step 3: Cross multiply
    52,896.96x = 72,986.40 × 30,528
  4. Step 4: Simplify right side
    52,896.96x = 2,228,128,819.20
  5. Step 5: Solve for x
    x = 2,228,128,819.20/52,896.96
  6. Step 6: Final answer
    x = 42,122.06

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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.