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Finding the Fourth Proportional to 32,255.50, 48,374.88 and 14,476

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Solution

The fourth proportional to 32,255.50, 48,374.88 and 14,476 is: 21,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,255.50 : 48,374.88 = 14,476 : x
  2. Step 2: Convert to fraction form
    32,255.50/48,374.88 = 14,476/x
  3. Step 3: Cross multiply
    32,255.50x = 48,374.88 × 14,476
  4. Step 4: Simplify right side
    32,255.50x = 700,274,762.88
  5. Step 5: Solve for x
    x = 700,274,762.88/32,255.50
  6. Step 6: Final answer
    x = 21,710.24

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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.