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Finding the Fourth Proportional to 52,111.49, 78,171.84 and 14,671.88

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Solution

The fourth proportional to 52,111.49, 78,171.84 and 14,671.88 is: 22,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.49 : 78,171.84 = 14,671.88 : x
  2. Step 2: Convert to fraction form
    52,111.49/78,171.84 = 14,671.88/x
  3. Step 3: Cross multiply
    52,111.49x = 78,171.84 × 14,671.88
  4. Step 4: Simplify right side
    52,111.49x = 1,146,927,758.14
  5. Step 5: Solve for x
    x = 1,146,927,758.14/52,111.49
  6. Step 6: Final answer
    x = 22,009.12

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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.