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Finding the Fourth Proportional to 52,288.37, 78,416.84 and 14,851.49

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Solution

The fourth proportional to 52,288.37, 78,416.84 and 14,851.49 is: 22,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,288.37 : 78,416.84 = 14,851.49 : x
  2. Step 2: Convert to fraction form
    52,288.37/78,416.84 = 14,851.49/x
  3. Step 3: Cross multiply
    52,288.37x = 78,416.84 × 14,851.49
  4. Step 4: Simplify right side
    52,288.37x = 1,164,606,915.09
  5. Step 5: Solve for x
    x = 1,164,606,915.09/52,288.37
  6. Step 6: Final answer
    x = 22,272.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.