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Finding the Fourth Proportional to 52,098, 71,895.27 and 28,224.84

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Solution

The fourth proportional to 52,098, 71,895.27 and 28,224.84 is: 38,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098 : 71,895.27 = 28,224.84 : x
  2. Step 2: Convert to fraction form
    52,098/71,895.27 = 28,224.84/x
  3. Step 3: Cross multiply
    52,098x = 71,895.27 × 28,224.84
  4. Step 4: Simplify right side
    52,098x = 2,029,232,492.51
  5. Step 5: Solve for x
    x = 2,029,232,492.51/52,098
  6. Step 6: Final answer
    x = 38,950.30

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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.