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Finding the Fourth Proportional to 35,214.69, 52,810.88 and 11,516.76

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Solution

The fourth proportional to 35,214.69, 52,810.88 and 11,516.76 is: 17,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214.69 : 52,810.88 = 11,516.76 : x
  2. Step 2: Convert to fraction form
    35,214.69/52,810.88 = 11,516.76/x
  3. Step 3: Cross multiply
    35,214.69x = 52,810.88 × 11,516.76
  4. Step 4: Simplify right side
    35,214.69x = 608,210,230.35
  5. Step 5: Solve for x
    x = 608,210,230.35/35,214.69
  6. Step 6: Final answer
    x = 17,271.49

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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.