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Finding the Fourth Proportional to 35,953.88, 53,941.95 and 12,580.52

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Solution

The fourth proportional to 35,953.88, 53,941.95 and 12,580.52 is: 18,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953.88 : 53,941.95 = 12,580.52 : x
  2. Step 2: Convert to fraction form
    35,953.88/53,941.95 = 12,580.52/x
  3. Step 3: Cross multiply
    35,953.88x = 53,941.95 × 12,580.52
  4. Step 4: Simplify right side
    35,953.88x = 678,617,511.10
  5. Step 5: Solve for x
    x = 678,617,511.10/35,953.88
  6. Step 6: Final answer
    x = 18,874.67

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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.