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Finding the Fourth Proportional to 38,492.76, 57,792.84 and 19,788.66

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Solution

The fourth proportional to 38,492.76, 57,792.84 and 19,788.66 is: 29,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.76 : 57,792.84 = 19,788.66 : x
  2. Step 2: Convert to fraction form
    38,492.76/57,792.84 = 19,788.66/x
  3. Step 3: Cross multiply
    38,492.76x = 57,792.84 × 19,788.66
  4. Step 4: Simplify right side
    38,492.76x = 1,143,642,861.19
  5. Step 5: Solve for x
    x = 1,143,642,861.19/38,492.76
  6. Step 6: Final answer
    x = 29,710.60

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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.