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Finding the Fourth Proportional to 52,490.09, 78,688.52 and 20,461.78

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Solution

The fourth proportional to 52,490.09, 78,688.52 and 20,461.78 is: 30,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490.09 : 78,688.52 = 20,461.78 : x
  2. Step 2: Convert to fraction form
    52,490.09/78,688.52 = 20,461.78/x
  3. Step 3: Cross multiply
    52,490.09x = 78,688.52 × 20,461.78
  4. Step 4: Simplify right side
    52,490.09x = 1,610,107,082.46
  5. Step 5: Solve for x
    x = 1,610,107,082.46/52,490.09
  6. Step 6: Final answer
    x = 30,674.50

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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.