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Finding the Fourth Proportional to 38,051, 52,510.56 and 21,284

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Solution

The fourth proportional to 38,051, 52,510.56 and 21,284 is: 29,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051 : 52,510.56 = 21,284 : x
  2. Step 2: Convert to fraction form
    38,051/52,510.56 = 21,284/x
  3. Step 3: Cross multiply
    38,051x = 52,510.56 × 21,284
  4. Step 4: Simplify right side
    38,051x = 1,117,634,759.04
  5. Step 5: Solve for x
    x = 1,117,634,759.04/38,051
  6. Step 6: Final answer
    x = 29,372.02

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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.