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Finding the Fourth Proportional to 34,696.81, 52,045.35 and 8,401.51

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Solution

The fourth proportional to 34,696.81, 52,045.35 and 8,401.51 is: 12,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.81 : 52,045.35 = 8,401.51 : x
  2. Step 2: Convert to fraction form
    34,696.81/52,045.35 = 8,401.51/x
  3. Step 3: Cross multiply
    34,696.81x = 52,045.35 × 8,401.51
  4. Step 4: Simplify right side
    34,696.81x = 437,259,528.48
  5. Step 5: Solve for x
    x = 437,259,528.48/34,696.81
  6. Step 6: Final answer
    x = 12,602.30

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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.