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Finding the Fourth Proportional to 52,045.71, 71,823.44 and 28,172.45

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Solution

The fourth proportional to 52,045.71, 71,823.44 and 28,172.45 is: 38,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.71 : 71,823.44 = 28,172.45 : x
  2. Step 2: Convert to fraction form
    52,045.71/71,823.44 = 28,172.45/x
  3. Step 3: Cross multiply
    52,045.71x = 71,823.44 × 28,172.45
  4. Step 4: Simplify right side
    52,045.71x = 2,023,441,772.25
  5. Step 5: Solve for x
    x = 2,023,441,772.25/52,045.71
  6. Step 6: Final answer
    x = 38,878.17

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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.