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Finding the Fourth Proportional to 52,257.78, 78,384.06 and 12,812.76

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Solution

The fourth proportional to 52,257.78, 78,384.06 and 12,812.76 is: 19,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257.78 : 78,384.06 = 12,812.76 : x
  2. Step 2: Convert to fraction form
    52,257.78/78,384.06 = 12,812.76/x
  3. Step 3: Cross multiply
    52,257.78x = 78,384.06 × 12,812.76
  4. Step 4: Simplify right side
    52,257.78x = 1,004,316,148.61
  5. Step 5: Solve for x
    x = 1,004,316,148.61/52,257.78
  6. Step 6: Final answer
    x = 19,218.50

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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.