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Finding the Fourth Proportional to 51,561.64, 77,346.54 and 16,501.30

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Solution

The fourth proportional to 51,561.64, 77,346.54 and 16,501.30 is: 24,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,561.64 : 77,346.54 = 16,501.30 : x
  2. Step 2: Convert to fraction form
    51,561.64/77,346.54 = 16,501.30/x
  3. Step 3: Cross multiply
    51,561.64x = 77,346.54 × 16,501.30
  4. Step 4: Simplify right side
    51,561.64x = 1,276,318,460.50
  5. Step 5: Solve for x
    x = 1,276,318,460.50/51,561.64
  6. Step 6: Final answer
    x = 24,753.26

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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.