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Finding the Fourth Proportional to 37,447.70, 56,155.93 and 15,246

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Solution

The fourth proportional to 37,447.70, 56,155.93 and 15,246 is: 22,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.70 : 56,155.93 = 15,246 : x
  2. Step 2: Convert to fraction form
    37,447.70/56,155.93 = 15,246/x
  3. Step 3: Cross multiply
    37,447.70x = 56,155.93 × 15,246
  4. Step 4: Simplify right side
    37,447.70x = 856,153,308.78
  5. Step 5: Solve for x
    x = 856,153,308.78/37,447.70
  6. Step 6: Final answer
    x = 22,862.64

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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.