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Finding the Fourth Proportional to 102,647.34, 153,954.35 and 36,071.94

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Solution

The fourth proportional to 102,647.34, 153,954.35 and 36,071.94 is: 54,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.34 : 153,954.35 = 36,071.94 : x
  2. Step 2: Convert to fraction form
    102,647.34/153,954.35 = 36,071.94/x
  3. Step 3: Cross multiply
    102,647.34x = 153,954.35 × 36,071.94
  4. Step 4: Simplify right side
    102,647.34x = 5,553,431,895.58
  5. Step 5: Solve for x
    x = 5,553,431,895.58/102,647.34
  6. Step 6: Final answer
    x = 54,102.05

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Why These Related Problems?

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