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Finding the Fourth Proportional to 52,002.60, 78,018.30 and 34,506.60

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Solution

The fourth proportional to 52,002.60, 78,018.30 and 34,506.60 is: 51,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.60 : 78,018.30 = 34,506.60 : x
  2. Step 2: Convert to fraction form
    52,002.60/78,018.30 = 34,506.60/x
  3. Step 3: Cross multiply
    52,002.60x = 78,018.30 × 34,506.60
  4. Step 4: Simplify right side
    52,002.60x = 2,692,146,270.78
  5. Step 5: Solve for x
    x = 2,692,146,270.78/52,002.60
  6. Step 6: Final answer
    x = 51,769.46

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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.