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Finding the Fourth Proportional to 38,492.80, 57,782.40 and 29,766.40

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Solution

The fourth proportional to 38,492.80, 57,782.40 and 29,766.40 is: 44,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.80 : 57,782.40 = 29,766.40 : x
  2. Step 2: Convert to fraction form
    38,492.80/57,782.40 = 29,766.40/x
  3. Step 3: Cross multiply
    38,492.80x = 57,782.40 × 29,766.40
  4. Step 4: Simplify right side
    38,492.80x = 1,719,974,031.36
  5. Step 5: Solve for x
    x = 1,719,974,031.36/38,492.80
  6. Step 6: Final answer
    x = 44,683.01

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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.