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Finding the Fourth Proportional to 35,263, 52,896.66 and 10,639

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Solution

The fourth proportional to 35,263, 52,896.66 and 10,639 is: 15,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,263 : 52,896.66 = 10,639 : x
  2. Step 2: Convert to fraction form
    35,263/52,896.66 = 10,639/x
  3. Step 3: Cross multiply
    35,263x = 52,896.66 × 10,639
  4. Step 4: Simplify right side
    35,263x = 562,767,565.74
  5. Step 5: Solve for x
    x = 562,767,565.74/35,263
  6. Step 6: Final answer
    x = 15,959.15

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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.