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Finding the Fourth Proportional to 67,536, 101,047 and 40,783.52

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Solution

The fourth proportional to 67,536, 101,047 and 40,783.52 is: 61,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536 : 101,047 = 40,783.52 : x
  2. Step 2: Convert to fraction form
    67,536/101,047 = 40,783.52/x
  3. Step 3: Cross multiply
    67,536x = 101,047 × 40,783.52
  4. Step 4: Simplify right side
    67,536x = 4,121,052,345.44
  5. Step 5: Solve for x
    x = 4,121,052,345.44/67,536
  6. Step 6: Final answer
    x = 61,020.08

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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.