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Finding the Fourth Proportional to 35,574.90, 53,363.43 and 12,201

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Solution

The fourth proportional to 35,574.90, 53,363.43 and 12,201 is: 18,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.90 : 53,363.43 = 12,201 : x
  2. Step 2: Convert to fraction form
    35,574.90/53,363.43 = 12,201/x
  3. Step 3: Cross multiply
    35,574.90x = 53,363.43 × 12,201
  4. Step 4: Simplify right side
    35,574.90x = 651,087,209.43
  5. Step 5: Solve for x
    x = 651,087,209.43/35,574.90
  6. Step 6: Final answer
    x = 18,301.87

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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.