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Finding the Fourth Proportional to 32,492.64, 48,728.88 and 12,765.84

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Solution

The fourth proportional to 32,492.64, 48,728.88 and 12,765.84 is: 19,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.64 : 48,728.88 = 12,765.84 : x
  2. Step 2: Convert to fraction form
    32,492.64/48,728.88 = 12,765.84/x
  3. Step 3: Cross multiply
    32,492.64x = 48,728.88 × 12,765.84
  4. Step 4: Simplify right side
    32,492.64x = 622,065,085.46
  5. Step 5: Solve for x
    x = 622,065,085.46/32,492.64
  6. Step 6: Final answer
    x = 19,144.80

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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.