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Finding the Fourth Proportional to 35,806.74, 53,710.10 and 12,433.19

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Solution

The fourth proportional to 35,806.74, 53,710.10 and 12,433.19 is: 18,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.74 : 53,710.10 = 12,433.19 : x
  2. Step 2: Convert to fraction form
    35,806.74/53,710.10 = 12,433.19/x
  3. Step 3: Cross multiply
    35,806.74x = 53,710.10 × 12,433.19
  4. Step 4: Simplify right side
    35,806.74x = 667,787,547.50
  5. Step 5: Solve for x
    x = 667,787,547.50/35,806.74
  6. Step 6: Final answer
    x = 18,649.77

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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.