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Finding the Fourth Proportional to 25,070.94, 37,610.73 and 8,432.58

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Solution

The fourth proportional to 25,070.94, 37,610.73 and 8,432.58 is: 12,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,070.94 : 37,610.73 = 8,432.58 : x
  2. Step 2: Convert to fraction form
    25,070.94/37,610.73 = 8,432.58/x
  3. Step 3: Cross multiply
    25,070.94x = 37,610.73 × 8,432.58
  4. Step 4: Simplify right side
    25,070.94x = 317,155,489.58
  5. Step 5: Solve for x
    x = 317,155,489.58/25,070.94
  6. Step 6: Final answer
    x = 12,650.32

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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.