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Finding the Fourth Proportional to 52,126, 71,933.47 and 28,252.06

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Solution

The fourth proportional to 52,126, 71,933.47 and 28,252.06 is: 38,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,126 : 71,933.47 = 28,252.06 : x
  2. Step 2: Convert to fraction form
    52,126/71,933.47 = 28,252.06/x
  3. Step 3: Cross multiply
    52,126x = 71,933.47 × 28,252.06
  4. Step 4: Simplify right side
    52,126x = 2,032,268,710.45
  5. Step 5: Solve for x
    x = 2,032,268,710.45/52,126
  6. Step 6: Final answer
    x = 38,987.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.