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Finding the Fourth Proportional to 35,806.84, 53,711.16 and 9,511.54

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Solution

The fourth proportional to 35,806.84, 53,711.16 and 9,511.54 is: 14,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.84 : 53,711.16 = 9,511.54 : x
  2. Step 2: Convert to fraction form
    35,806.84/53,711.16 = 9,511.54/x
  3. Step 3: Cross multiply
    35,806.84x = 53,711.16 × 9,511.54
  4. Step 4: Simplify right side
    35,806.84x = 510,875,846.79
  5. Step 5: Solve for x
    x = 510,875,846.79/35,806.84
  6. Step 6: Final answer
    x = 14,267.55

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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.