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Finding the Fourth Proportional to 38,143.50, 52,638.06 and 23,239.50

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Solution

The fourth proportional to 38,143.50, 52,638.06 and 23,239.50 is: 32,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,143.50 : 52,638.06 = 23,239.50 : x
  2. Step 2: Convert to fraction form
    38,143.50/52,638.06 = 23,239.50/x
  3. Step 3: Cross multiply
    38,143.50x = 52,638.06 × 23,239.50
  4. Step 4: Simplify right side
    38,143.50x = 1,223,282,195.37
  5. Step 5: Solve for x
    x = 1,223,282,195.37/38,143.50
  6. Step 6: Final answer
    x = 32,070.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.