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Finding the Fourth Proportional to 35,214.57, 48,594.66 and 21,075.21

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Solution

The fourth proportional to 35,214.57, 48,594.66 and 21,075.21 is: 29,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214.57 : 48,594.66 = 21,075.21 : x
  2. Step 2: Convert to fraction form
    35,214.57/48,594.66 = 21,075.21/x
  3. Step 3: Cross multiply
    35,214.57x = 48,594.66 × 21,075.21
  4. Step 4: Simplify right side
    35,214.57x = 1,024,142,664.38
  5. Step 5: Solve for x
    x = 1,024,142,664.38/35,214.57
  6. Step 6: Final answer
    x = 29,082.92

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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.