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Finding the Fourth Proportional to 38,510.90, 53,143.14 and 21,511.77

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Solution

The fourth proportional to 38,510.90, 53,143.14 and 21,511.77 is: 29,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.90 : 53,143.14 = 21,511.77 : x
  2. Step 2: Convert to fraction form
    38,510.90/53,143.14 = 21,511.77/x
  3. Step 3: Cross multiply
    38,510.90x = 53,143.14 × 21,511.77
  4. Step 4: Simplify right side
    38,510.90x = 1,143,203,004.76
  5. Step 5: Solve for x
    x = 1,143,203,004.76/38,510.90
  6. Step 6: Final answer
    x = 29,685.18

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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.