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Finding the Fourth Proportional to 35,237.81, 52,856.46 and 8,583.47

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Solution

The fourth proportional to 35,237.81, 52,856.46 and 8,583.47 is: 12,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,237.81 : 52,856.46 = 8,583.47 : x
  2. Step 2: Convert to fraction form
    35,237.81/52,856.46 = 8,583.47/x
  3. Step 3: Cross multiply
    35,237.81x = 52,856.46 × 8,583.47
  4. Step 4: Simplify right side
    35,237.81x = 453,691,574.43
  5. Step 5: Solve for x
    x = 453,691,574.43/35,237.81
  6. Step 6: Final answer
    x = 12,875.14

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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.