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Finding the Fourth Proportional to 32,201.74, 48,312.74 and 14,447.55

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Solution

The fourth proportional to 32,201.74, 48,312.74 and 14,447.55 is: 21,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.74 : 48,312.74 = 14,447.55 : x
  2. Step 2: Convert to fraction form
    32,201.74/48,312.74 = 14,447.55/x
  3. Step 3: Cross multiply
    32,201.74x = 48,312.74 × 14,447.55
  4. Step 4: Simplify right side
    32,201.74x = 698,000,726.79
  5. Step 5: Solve for x
    x = 698,000,726.79/32,201.74
  6. Step 6: Final answer
    x = 21,675.87

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1.5x scale

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.