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Finding the Fourth Proportional to 38,283.13, 52,830.72 and 21,516.13

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Solution

The fourth proportional to 38,283.13, 52,830.72 and 21,516.13 is: 29,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.13 : 52,830.72 = 21,516.13 : x
  2. Step 2: Convert to fraction form
    38,283.13/52,830.72 = 21,516.13/x
  3. Step 3: Cross multiply
    38,283.13x = 52,830.72 × 21,516.13
  4. Step 4: Simplify right side
    38,283.13x = 1,136,712,267.78
  5. Step 5: Solve for x
    x = 1,136,712,267.78/38,283.13
  6. Step 6: Final answer
    x = 29,692.25

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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.