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Finding the Fourth Proportional to 38,037.72, 52,492.14 and 21,043.20

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Solution

The fourth proportional to 38,037.72, 52,492.14 and 21,043.20 is: 29,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037.72 : 52,492.14 = 21,043.20 : x
  2. Step 2: Convert to fraction form
    38,037.72/52,492.14 = 21,043.20/x
  3. Step 3: Cross multiply
    38,037.72x = 52,492.14 × 21,043.20
  4. Step 4: Simplify right side
    38,037.72x = 1,104,602,600.45
  5. Step 5: Solve for x
    x = 1,104,602,600.45/38,037.72
  6. Step 6: Final answer
    x = 29,039.66

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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.