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Finding the Fourth Proportional to 52,141.34, 78,210.48 and 12,697.88

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Solution

The fourth proportional to 52,141.34, 78,210.48 and 12,697.88 is: 19,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,141.34 : 78,210.48 = 12,697.88 : x
  2. Step 2: Convert to fraction form
    52,141.34/78,210.48 = 12,697.88/x
  3. Step 3: Cross multiply
    52,141.34x = 78,210.48 × 12,697.88
  4. Step 4: Simplify right side
    52,141.34x = 993,107,289.78
  5. Step 5: Solve for x
    x = 993,107,289.78/52,141.34
  6. Step 6: Final answer
    x = 19,046.45

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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.