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Finding the Fourth Proportional to 38,276.50, 52,820.49 and 21,509.86

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Solution

The fourth proportional to 38,276.50, 52,820.49 and 21,509.86 is: 29,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,276.50 : 52,820.49 = 21,509.86 : x
  2. Step 2: Convert to fraction form
    38,276.50/52,820.49 = 21,509.86/x
  3. Step 3: Cross multiply
    38,276.50x = 52,820.49 × 21,509.86
  4. Step 4: Simplify right side
    38,276.50x = 1,136,161,345.03
  5. Step 5: Solve for x
    x = 1,136,161,345.03/38,276.50
  6. Step 6: Final answer
    x = 29,683.00

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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.