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Finding the Fourth Proportional to 45,041.84, 67,563.48 and 13,877

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Solution

The fourth proportional to 45,041.84, 67,563.48 and 13,877 is: 20,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041.84 : 67,563.48 = 13,877 : x
  2. Step 2: Convert to fraction form
    45,041.84/67,563.48 = 13,877/x
  3. Step 3: Cross multiply
    45,041.84x = 67,563.48 × 13,877
  4. Step 4: Simplify right side
    45,041.84x = 937,578,411.96
  5. Step 5: Solve for x
    x = 937,578,411.96/45,041.84
  6. Step 6: Final answer
    x = 20,815.72

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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.