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Finding the Fourth Proportional to 32,255.78, 48,364.02 and 14,482.99

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Solution

The fourth proportional to 32,255.78, 48,364.02 and 14,482.99 is: 21,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,255.78 : 48,364.02 = 14,482.99 : x
  2. Step 2: Convert to fraction form
    32,255.78/48,364.02 = 14,482.99/x
  3. Step 3: Cross multiply
    32,255.78x = 48,364.02 × 14,482.99
  4. Step 4: Simplify right side
    32,255.78x = 700,455,671.56
  5. Step 5: Solve for x
    x = 700,455,671.56/32,255.78
  6. Step 6: Final answer
    x = 21,715.66

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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.